Question

Write an equation of the line that passes through (−4, −9) and is parallel to the line y=4x .

Answer 1

7=4x+7

Explanation:

To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7

Answer 2

y = 4x + 7

Explanation:

parallel = same slope

y = 4x + b

plug in (-4, -9)

-9 = 4(-4) + b

-9 = -16 + b

b = 7

y = 4x + 7