Problem
Write an equation in slope - intercept form for the line that passes through the given paint and is perpendicular to the given equation.
10) (3, 8), y = 5x – 3
Solution
For this case since the line needs to be perpendicular we need to satisfy the following:
m1 *m2 =-1
m2 = -1/m1 = -1/5
And then we can find the intercept like this:
8 = -1/5 (3)+b
b= 8 +3/5 = 43/5
And then the equation would be:
y= -1/5 x + 43/5