Question

What is the answer to number 39

Answer 1

Parallel lines have the same a slope.

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have y = -2x - 6 → the slope m = -2. Therefore we have the equation of a line:

$y = -2x + b$

Put the coordinates of the point (-4, 1) to the equation:

$1=-2(-4)+b$

$1=8+b$               subtract 8 from both sides

$-7=b\to b=-7$

Answer: y = -2x - 7