Question

Write an equation for the line parallel to the given line that contains C.
C(1,5); y= -4x+7

Answer 1

y=-4x+9

Explanation:

We will find an equation in the form of y = mx + b. We know m must be -4(because the slope must be the same for parallel lines), so we need to solve for b, which is the y-intercept. To do that, we will plug in the point C, giving us
`5 = -4 * 1 + b`. Adding 4 to both sides gives us b = 9, so that is the y-intercept.