Question

Consider the line y=2x-9.

Find the equation of the line that is perpendicular to this line and passes through the point (7, -3).
Find the equation of the line that is parallel to this line and passes through the point (7, -3).

Answer 1

Answer: Perpendicular: y = -1/2x -13/2

Parallel: y = 2x -17

Explanation:

Perpendicular line:

- slope: negative reciprocal

- y-intercept: plug x = 7 and y = 3 into y = -1/2x+b

Parallel:

- slope: the same as the original one

- y intercept: plug x = 7 and y = 3 into y = 2x+b