Find an equation for the line perpendicular

Question

Find an equation for the line perpendicular to  and goes through the point .Write your answer in the form .

Answer 1

Slope of given line:

m₁ = -3/30 = -1/10

Slope of perpendicular line:

m = -1/m₁ = 10

y = mx + b = 10x + b

-9 = 10(-7) + b

Solve for b, plug b into

y = 10x + b,

and you are done.