Find an equation for the line perpendicular to 3 x + 18 y = 144 and goes through the point ( 8 , 3 ) . Write your answer in the form y = m x + b .

Answer 1

3x + 18y = 144

18y = -3x + 144

y = (-3/18)x + 144/18

= (-1/6)x + 8

the slope of the given line is (-1/6)

So then the slope of the perpendicular line MUST

be the negative reciprocal, which is +6

B = y - mx = 3 - (6)(8)

= 3 - 48

= -45

y = 6x - 45