Question

Write an equation in slope intercept form for a line that is (a) parallel (b) perpendicular to the line y = 3x-5 and has a y-intercept of 6.​

Answer 1

Explanation:

Given line:

• y = 3x - 5

We are looking for a parallel and a perpendicular line to the given with a y-intercept of 6.

a)

Parallel lines have equal slopes:

• y = 3x + 6 is the parallel line

b)

Perpendicular lines have negative-reciprocal slopes:

• y = -1/3x + 6 is the perpendicular line