Perpendicular lines

Question

Write the equation of the line perpendicular to

y equals five halves x plus nine halvesy=52x+92

that passes through the point (-1,9)

Answer 1

The perpendicular line will have slope -(2/5), i.e. the negative reciprocal of the slope of the original line.

-(2/5) = (y-9)/(x+1) is the equation you need and it can be "massaged" into any required form.