Question

Write an equation for the line that is parallel to y = −2x and passes through the point (0, −7). y=2x-7

y=-2x+7



y=2x+7



y=-2x-7

Answer 1

y = -2x - 7

Explanation:

Call

y = mx + b

the unknown line. We must determine m and b.

Since the line is parallel to y = −2x, our unknown line has the same slope m=-2

So

y = -2x + b

Since our line passes through (x,y) = (0, -7)

-7 = -2(0) + b ===> b = -7

Hence the line we are looking for is

y = -2x - 7