Question

What is the equation of a line passing through (2, -1) and parallel to the line represented by the equation y = 2x + 1?

Answer 1

`y=2x-5`

Explanation:

Two parallel lines do not cross and therefore have the same slope. For the line y=2x+1, the slope is 2. Substitute 2 and the point (2,-1) into the formula

`y-y_1=m(x-x_1)`

`y--1=2(x-2)\\y+1=2(x-2)\\y+1=2x-4\\y=2x-5`