Question

What equations represents the line that is parallel to 3x-4y=7 and passes through the point (-4,-2) check all that apply

Answer 1

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

Explanation:

Parallel lines have the same slope. To find the slope, convert 3x-4y=7 into y=mx+b form.

3x - 4y = 7

-4y = 7 -3x

y= -7/4 + 3/4 x

The slope of the line is 3/4. Using this slope, substitute m=3/4 and the point (-4,-2) into the point slope form.

`y-y_1=m(x-x_1)\\y--2=(3)/(4)(x--4)\\y+2=(3)/(4)(x+4)\\y=(3)/(4)x + 3`