Slope-intercept

Question

If the graph of f passes through (-6,6) and is perpendicular to the line that has an x-intercept of 3 and a y-intercept of -9. What is the equation of the function?

Answer 1

The line is (x/3)-(y/9)=1, i.e. y=3x-9 which has a slope of 3.

3=(y-6)/(x+6) is the equation of the perpendicular and you can "massage" it around to get it into any form required.