Question

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)

Answer 1

Answer:

Step-by-step explanation:

3x - 4y = 7

-4y = -3x + 7

y = 3/4x - 7/4.....the slope here is 3/4. A parallel line will have the same slope.

y - y1 = m(x - x1)

slope(m) = 3/4

(-4,-2)....x1 = -4 and y1 = -2

now we sub

y - (-2) = 3/4(x - (-4) =

y + 2 = 3/4(x + 4) <=== this is one

y + 2 = 3/4(x + 4)

y + 2 = 3/4x + 3

y = 3/4x + 3 - 2

y = 3/4x + 1

-3/4x + y = 1

3x - 4y = -4 <==== this is one

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Answer 2

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)

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1 Expert Answer

By:

Denise G. answered • 08/01/19

Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor

The slope of a parallel line is the same. Need to manipulate that equation to find the slope.

3x-4y=7 Subtract 3x from both sides

-4y=-3x+7 Divide both sides by -4

y=3/4x-7/4

If m=3/4, the parallel line slope is also 3/4. We plug this and the point given into the following equation

(y-y1)=m(x-x1)

(y-(-2))=3/4(x-(-4)) Simplify and use the distributive property

y+2 = 3/4(x+4)

y+2=3/4x+3 Subtract 2 from both sides

y+2-2=3/4x+3-2

y=3/4x+1

You will have to manipulate equations to see which are equal to this. They are all running together, I can't tell which parts go with what.

$<marquee>Hope this helps you and don't forget to BRAINLIEST me...$