Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation.

Point: (−1,−2)(−1,−2)

Equation: 3x−y=53x−y=5

Parallel Equation: y=

Answers

Answer 1

Answer:

y = -3x -5

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The equation 3x - y = 5 can be converted to slope intercept form to find the slope. The slope of the line y = -3x - 7 is -3. Substitute m = -3 and the point (-1,-2) into the point slope form of a line.

[tex]y -y_1 = m(x-x_1)\\y --2 = -3(x --1)\\y + 2 = -3(x+1)\\[/tex]

You can convert the equation to slope intercept form by using the distributive property.

y + 2 = -3(x+1)

y + 2 = -3x - 3

y = -3x - 5


Related Questions

Wendy is making lemonade. As shown below, Wendy mixes water and lemon juice . Which equation shows how much lemon juice is needed for 10 ounces of water​

Answers

the equation to show how much lemon juice is needed for 10 ounces of water, would be 3 x 10. this would be the equation because we can see the water in ounces goes by 3, and the lemon juice in ounces goes by 1. the first ratio shown on the table, is 6:2, which can be simplified to 3:1. therefore if we needed 10 ounces of water, you would have to multiply 3 and 10.

Answer:

3 times 10

Step-by-step explanation:

Some one help please hurry.

Answers

this is an example, but it's not drawn accurately and not to scale

use a protractor and ruler for yours

10............................

Answers

No, they do not represent the same quantity. Explained in attached sheet.

0.034 is 1/10 of 0.0034

Answers

False, .0034 is 1/10 of .034

Final answer:

The statement that 0.034 is 1/10 of 0.0034 is incorrect. In fact, 0.034 is 10 times larger than 0.0034. Thus, it's correct to say 0.0034 is 1/10 of 0.034.

Explanation:

No, the statement that 0.034 is 1/10 of 0.0034 is not correct. When comparing the two numbers, we can see that 0.034 is actually 10 times larger than 0.0034, not 1/10. To confirm this, we can perform the division operation: 0.034 ÷ 0.0034 = 10. Therefore, we can say that 0.0034 is 1/10 of 0.034, but not the other way around.

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what is the area of pentagon ABCDE? 16 square units, 20 square units, 24 square units, or 36 square units?

Answers

Answer:

its A i just took the test

Step-by-step explanation:

Answer: The correct answer is 24 square units.

Step-by-step explanation:

PLZ HELP I REALLY NEED IT PLZ

Answers

Answer:

number 16 is correct nice job!  number 17 is J=PM/300

Step-by-step explanation:

Answer:

For 16 the answer is option D

For 17 the correct option is D

Step-by-step explanation:

See the attached figure

Solve for X.

x2= -63

Write your answer in simplified, rationalized form.

Answers

this is the answer to your equation

The solutions to the equation x² = -63 in simplified, rationalized form are:

x = 3√7 * i

x = -3√7 * i

Isolate x²: In this case, x² is already isolated on one side of the equation.

Apply the Square Root Property: Take the square root of both sides of the equation to eliminate the exponent on x²:

√(x²) = √(-63)

Simplify and Introduce Imaginary Unit: Recall that the square root of a negative number is an imaginary number. We introduce the imaginary unit 'i,' defined as √(-1):

x = ±√(63) * √(-1)

x = ±√63 * i

Simplify and Rationalize: √63 cannot be simplified further, but we can rationalize it by multiplying both the numerator and denominator by √3:

x = ±√63 * i * √3 / √3

x = ±3√7 * i

When rolling a number cube what is the probability of rolling a number greater than two

Answers

Answer:

it is 5/6

Step-by-step explanation:

it's easy. There are 5 numbers that are greater than 2.

Answer: the answer is 2/3 i took the test

How many triangles can you make from straws with the lengths 2,1,2 inches?

Answers

Answer:

You can make one triangle with these lengths

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Verify if the lengths satisfy the triangle inequality theorem

1) 2+1 > 2

3 > 2 ------> is true

2)2+2 > 1

4 > 1 -----> is true

so

The lengths  satisfy the triangle inequality theorem

therefore

You can make one triangle with these lengths

What is the factored form of the following expression?

x^2 - x - 42

Answers

Answer:

(x - 7)(x + 6)

Step-by-step explanation:

Consider the factors of the constant term ( - 42) which sum to give the coefficient of the x- term ( - 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1

x² - x - 42 = (x - 7)(x + 6)

Answer:

Factor x²−x−42 using the AC method.

(x+6)(x-7)

Step-by-step explanation:

What is the factored form of the following expression?

x^2 - x - 42

STEPS:

x²-x-42

Break the expression into groups:

=(x²+6x)+(-7x-42)

Factor out x from x²+6x: x(x+6)

Factor out -7 from -7-42: -7(x+6)

=x(x+6)-7(x+6)

Factor out common term x+6

ANSWER=(x+6)(x-7)

2 7/8 plus 3 2/8 plus 1 1/8

Answers

Answer:

7.25

Step-by-step explanation:

2 7/8 + 3 2/8 * 1 1/8 = 7.25

Answer:

7 1/4

Step-by-step explanation:

exact form is 29/4 but if you wanted to simplify it the mixed number form is 7 1/4

2. Two linear functions in a coordinate plane have no points
of intersection. Which pair of functions does not intersect?

A:6x + 2y = 12 and 20x + 10y = 14. B:4x + 2y = 12 and 20x + 10y = 30
C:6x +2y = 12 and y = 0.5x -0.6
D:10x + 10y = 6 and y = 0.5x - 0.6

Answers

The answerrrrrrrrrr is B

Option B is correct since both the lines given in option B have same slope so both the lines do not intersect each other and hence have no common solution.

The given equations are of the form

ax + by = c ......(1)

Slope for the equation of line is given by [tex](\dfrac{-a}{b} )[/tex]

We can  clearly see that in option B the lines given are

4x + 2y = 12 .......(2)

20x + 10y = 30....... (3)

Slope of equation (2)

[tex](\dfrac{-4}{2} )= -2[/tex]

Similarly slope of equation (3)

[tex](\dfrac{-20}{10} )= -2[/tex]

Which concludes that both are parallel to each other.

Since parallel lines can not have any common solution so  they never intersect each other. Hence option B is correct.

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**WILL MARK BRAINLIEST AND THANK YOU**

Find f(-5)
f(x)=-4x+3

A. -17
B. -7
C. 12
D. 23

Answers

Answer:

Step-by-step explanation:

f(x) = - 4x + 3

x = - 5

f(- 5) = - 4.(- 5) + 3

f(- 5) = 20 + 3

f(- 5) = 23

Alternative D

I hope I helped you.

Answer:

the answer is D

Step-by-step explanation:

What is the value of X? show all of your work

Answers

Answer:

11

Step-by-step explanation:

you need to divide 89 by 8 then round and you get 11

Steve drove at a constant rate to the beach for a vacation. In the equation below, t is the time in hours it took Steve to drive to the beach.

64t = 384


What is the unit rate in the equation above?

Answers

Final answer:

The unit rate in the equation 64t = 384 is 64.

Explanation:

The unit rate in the equation 64t = 384 is 64.

To find the unit rate, we divide the total value by the number of units. In this case, the total value is 384 and the number of units is 64. When we divide 384 by 64, we get the unit rate of 6.

Therefore, the unit rate in the equation is 64.

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Final answer:

The unit rate in the equation 64t = 384 is 6.

Explanation:

The unit rate in the equation 64t = 384 is 6.

To find the unit rate, divide both sides of the equation by 64:

t = 384/64 = 6.

Therefore, the unit rate is 6, which means that Steve drove at a constant rate of 6 hours to reach the beach.

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what is the answer to
1/4[2-5x+6]

Answers

Answer:

Step-by-step explanation:

(1/4) (2-5x+6)

=(1/4)(8-5x)

= 8/4 - 5x/4

=1/2 - 5x/4

please help!!!!!
The price tags at a clothing store do not include the
sales tax in the prices. Chase buys $210 worth of
clothing at the store. He hands the cashier $250
and receives $15.89 in change. How much sales
tax does Chase pay on his purchase?
A $24.11
B $15.89
C $40
D $210

Answers

Answer:

A. $24.11

Step-by-step explanation:

Take $210 out of the $250 he gave the cashier

250 - 210 = 40

So you have his exact change without the tax though. so take what he RECIVED away from what he was suppose to recive which is 40. So.....

40 - 15.89 = 24.11

$24.11

Hope this helps!

What is the place value of the 2 in the 150.1235

Answers

150.1235


Tenths place

The Answer is hundredths

Help...!!???!!??!!??!??

Answers

Answer:

[tex]\large\boxed{b)\ y=\dfrac{3}{4}x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b = y-intercpt → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (4, 2) and (0, -1) - y-intercept → b = -1.

(we see this already which equation. Only in b) y-intercept is b = -1).

Anyway, calculate the slope:

[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]

Finally we have the equation:

[tex]y=\dfrac{3}{4}x-1[/tex]

Bred has to paint a wall with 8 horizontal stripes. He has enough paint only for 5 blue, 5 red and 5 white stripes. If he can use at most 2 colors, how many different ways he can paint the wall.

Answers

Final answer:

Bred has a total of 771 ways to paint the wall, taking into account that he can use at most two colors for the stripes or just one.

Explanation:

The subject matter pertains to the field of combinatorics, a branch of mathematics dealing with combinations and permutations. The task requires finding the number of ways to paint 8 stripes on a wall using up to 2 colors from a selection of 3 colors, namely: blue, red, and white. Since we have more paint than stripes, the limiting factor in this problem is the number of stripes, not the quantity of paint.

As Bred can use at most two colors for the stripes, the combinations we can have with two colors are: blue and red, blue and white, red and white. In each of these combinations, there are 2^8 (or 256) ways to paint 8 stripes (exploration of all binary possibilities). So, for three combinations, it will be 3*256 = 768 ways.

Now, let's look at the single color options. He can also paint the stripes all in one color, but since he has only three colors, he has three ways for this.

Hence, in total, Bred has 768 (from two-color combinations) + 3 (from single color option) = 771 ways to paint a wall.

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what is the slope of the line that passes through the points (-5,2) and (-7,6)

Answers

Answer:

-2

Step-by-step explanation:

slope is equal to:       y2-y1

                                _______ =

                                   x2-x1

  6-2            4

______ = _____ = -2

-7-(-5)          -2

Study the image. Find the pair of vertical angles.

Answers

Answer:

<3 and <6 are Vertical angle and is the correct answer

Step-by-step explanation:

1) Vertical angle is The angles opposite each other when two or more line intersect each other or crosses each other.

Hopes this helps.

Answer:

∡3 and ∡6

Step-by-step explanation:

Vertical angles: each of the pairs of opposite angles made by two intersecting lines.

The vertical angles from the picture:

∡1 and ∡4

∡2 and ∡5

∡3 and ∡6

A baker is making bread. The recipe uses2/3 cup of walnuts for each bread recipe. The baker has 7 1/2 cups of walnuts. What's the number of full recipes of walnuts bread the baker can make?

Answers

Answer:

You can make 11 recipes with 7 1/2 cups of walnuts

Answer:

Step-by-step explanation:

11 1/4 but it says the number of full recipes so it would be 11

The perimeter of a rectangular rug is 24 ft. The length of the rug is 1 2/5 its width. What is the area of the rug?

Answers

Answer:

35 ft²

Step-by-step explanation:

We set up a system of linear equations describing this rug and then solve it:

Perimeter:  P = 2L + 2W

L = (1  2/5)W = 1.4W

Going back to the Perimeter equation, and knowing that P here is 24 ft, we have:

24 ft = 2(1.4W) + 2W, or 2.8W + 2W, or 4.8W.

Solve for W (width) by dividing both sides of this equation by 4.8:

W = 24 ft  / 4.8  = 5

The width of the rug is 5 ft; the length is 1.4(5 ft), or 7 ft.

Thus the area of the rug is A = L * W, or A = (7 ft)(5 ft) = 35 ft²

For what value of x does 3^4x=27^x-3?

Answers

x=4.80989686

by simplifying both sides of the equation, then isolating the variable.

Answer:

x= - 9

Step-by-step explanation:

This problem bothers on the law of indices

Given the expression

3^4x=27^x-3

We can also simplify it using the law

3^4x= 3^3(x-3)

Equating the powers we have

4x= 3(x-3)

Opening bracket

4x= 3x-9

Collecting like terms we have

4x-3x=-9

x=-9

Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.

Please help solve this problem

Answers

Answer: OPTION C

Step-by-step explanation:

By definition you know that:

[tex]\sqrt[n]{a^n}=a[/tex]

and by the exponents properties you also know that:

[tex]a^n*a^m=a^{(n+m)}[/tex]

Now, descompose 18 into its prime factors:

18=2*3*3=2*3²

Rewrite the expression and simplify (Keep on mind that: [tex]\sqrt{x^4}=x^{(\frac{4}{2})}=x^{2}[/tex]). Then, you obtain:

[tex]\sqrt{2*3^2*x^4*y*y^2}=3x^2y\sqrt{2y}[/tex]

Answer:

C. [tex]3x^2y\sqrt{2y}[/tex].

Step-by-step explanation:

The given radical expression is  [tex]\sqrt{18x^4y^3}[/tex].

We can rewrite this radical expression to obtain;

[tex]\sqrt{2\times9 \times (x^2)^2\times y^2\times y}[/tex].

This will give us;

[tex]\sqrt{2y} \times \sqrt{9(x^2)^2 y^2}[/tex].

[tex]3x^2y\sqrt{2y}[/tex].

The correct choice is C

g=-4x/3, solve for x​

Answers

Answer:

-3/4 g =x

Step-by-step explanation:

g=-4x/3

Multiply each side by 3

3g = -4/3 x *3

3g = -4x

Divide each side by -4

3/-4 g = -4x/-4

-3/4 g =x

A give line has the equation 10x+2y=-2. What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? Y=(________)x + 12​

Answers

first off, let's solve the "given" line for "y", that way we can put it in slope-intercept form to see what its slope might be.

[tex]\bf 10x+2y=-2\implies 2y=-10x-2\implies y=\cfrac{-10x-2}{2} \\\\\\ y=\cfrac{-10x}{2}-\cfrac{2}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

well, a parallel line to that one, will have the same exact slope, so then, we're really looking for the equation of a line whose slope is -5 and runs through (0 , 12)

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{12})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-12=-5(x-0) \\\\\\ y-12=-5x\implies y=-5x+12[/tex]

Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art pottery. The regular cost is $22 per person. There is a group special that costs $18 per person with an additional $24 fee for a private room. Ms. Chen is trying to decide if she should use the regular price or the group special.
1. Write an equation to show the total cost of the regular price with x people
2. Write an equation to show the total cost of the group special with x people

Answers

have a good day!!!!!!!!!

Final answer:

The total cost of the regular price for a group of x people is represented by the equation C = 22x, while the total cost of the group special is represented by C = 18x + 24.

Explanation:

Equations for Total Cost

1. Total Cost of Regular Price: Ms. Chen can calculate the total cost for x people with the regular price by using the equation C = 22x. Here, C represents the total cost, and x is the number of people in the group.

2. Total Cost of Group Special: To calculate the total cost for x people with the group special, Ms. Chen would use the equation C = 18x + 24. C is still the total cost, x is the number of people, and 24 represents the additional fee for the private room.

By comparing the results of both equations for a specific number of people, Ms. Chen can determine which option is more cost-effective.

what is the slope of the line (1,6) and (-5, -7)​

Answers

[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-6}{-5-1}\implies \cfrac{-13}{-6}\implies \cfrac{13}{6}[/tex]

The slope of the line is [tex]\frac{13}{6}[/tex].

What is the slope of line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

What is slope formula?

If [tex]P(x_{1} ,y_{1} )[/tex] and [tex]Q(x_{2} ,y_{2} )[/tex] are the two points on a straight line, then the slope formula is given by:

Slope, m = Change in y-coordinates/Change in x-coordinates

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the given question.

We have a two points (1, 6) and (-5,-7).

Therefore, the slope of the line from these points is given by

[tex]slope = \frac{-7-6}{-5-1} = \frac{-13}{-6} =\frac{13}{6}[/tex]

Hence, the slope of the line is [tex]\frac{13}{6}[/tex].

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