Graphs of linear functions

Question

Give the equation of the line passing through the point  that is perpendicular to .

Write your answer in slope- intercept form.

Answer 1

the perpendicular equation has a slope which is the negative inverse of 6/7. Just change the sign and flip the fraction upside down to get -7/6 = the slope = m. y=mx+b, y=-(7/6)x + b. Now plug in the point (12,-22) into y=-7x/6 + b and solve for b. b=-8

the perpendicular equation is y=-7x/6 -8