Question

Write an equation in slope-intercept form for a line that is (a) parallel (b) perpendicular to

the line y = -5x - 3 and has a y-intercept of 6.

Answer 1

A) parallel

It has the same slope.

y-intercept is 6.

So,

m = -5

b = + 6

y = -5x + 6

B) perpendicular

It has a negative reciprocal of the slope.

-5 = 1/5

y-intercept is 6

m = 1/5

b = + 6

y = 1/5x + 6