Question

Find the slope of a line perpendicular to y - 3 = 4 (x + 5)

Answer 1

hi @MarkVictor do you see the slope of this equation?

Answer 2

Yes @jim_thompson5910

Answer 3

what is the slope of this given equation?

Answer 4

4x right

Answer 5

just 4 actually

Answer 6

in general, point slope form is \[\Large y - y_1 = m(x - x_1)\] so we see the slope is m = 4

Answer 7

agreed?

Answer 8

Yes

Answer 9

ok so to find the perpendicular slope, we follow two steps


step 1) flip the fraction (aka take the reciprocal)
4 = 4/1 ----> 1/4


step 2) flip the sign (whatever is positive turns negative and vice versa)
+1/4 -----> -1/4


The original slope is 4 or 4/1. The perpendicular slope is -1/4

Answer 10

Ok thank you

Answer 11

you're welcome