contains points (-6,1) and is perpendicular to -8y-9x=7

Question

 graph points

Answer 1

-8y - 9x = 7

-8y = 9x + 7

y = (-9/8)x - 7/8

 

Perpendicular lines have opposite, reciprocal slopes. We plug in the given point to find b.

 

1 = (8/9)(-6) - b

1 = -16/3 - b

b = -19/3

 

Our final equation is...

 

y = (8/9)x - 19/3