Question

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.

y = –x + 1
3x − 4y = −4
4x − 3y = −3
y – 2 = –(x – 4)
y + 2 = (x + 4)

Answer 1

Hello there,

Answer: 3x-4y=-4

Answer 2

3x-4y=-4

Explanation:

To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.

3x-4y=7

-4y=-3x+7

y=3/4x-7/4

The slope is 3/4 and the slope of the new line will be 3/4 because its parallel to this line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

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

y+2=3/4x+3

y=3/4x+1

In standard form, this equation is

y=3/4x+1

-3/4x+y=1

3x-4y=-4