Question

The equation of a line is y=-x-1. What is the equation of the line that is perpendicular to the first line and

passes through (-4, 3)?

Answer 1

y= x + 7

Explanation:

The slope of a perpendicular line in relation to the original line will be the opposite reciprocal.

The slope of the original is -1, so the perpendicular slope will be 1.

Plug in (-4, 3) into the new equation, y = 1x + b, to find the y-intercept

3 = -4 + b

7 = b, so (0, 7) is the y-intercept

The new equation is y = x + 7