Question

The equation of line m is 5x−3y=2.

Answer 1

• rearrange into the form y = mx + c to find the gradient:
5x -3y = 2
-3y = 2 -5x
y = (-5/-3x) + (2/-3)
y = 5/3x - 2/3
gradient of line m is 5/3

• use formula to find perpendicular gradient, m1 X m2 = -1, and rearrange:
5/3 X m2 = -1
m2 = -3/5 is the slope of the perpendicular line :)