Write the equation of the line parallel to y - 4 = 2x which passes through the point (4,6).

Question

1. y = -1/2x + 8
2. y = -2x + 2 wrong
3. y = 2x - 2
4. y = 1/2x - 8

Answer 1

A line parallel has the same slope. The slope of y - 4 = 2x (or y = 2x + 4) is 2

So the line parallel to it that goes through (4, 6) is y - 6 = 2(x - 4) using the point-slope form of a line.

That would be y - 6 = 2x - 8 or y = 2x - 2