Question

A line is parallel to y = -2x + 1 and intersects the point (4, 1). What is the equation of this parallel line?

Answer 1

Using the point slope form y - y1 = m(x-x1)

m is the slope, because the lines are parallel the slope is identical, so m = -2.

Replace x1 and y1 with the given point and then solve for y:

y - 1 = -2(x-4)

Simplify:

y - 1 = -2x + 8

Add 1 to both sides:

y = -2x +9