# What is the slope of any line perpendicular to the line passing through #(3,13)# and #(-8,17)#?

##### 1 Answer

write the equation in the form y=mx + b using the points (3,13) and (-8,17)

Find the slope

Then find the y-intercept, plug in one of the points for (x,y)

Simplify

Solve for b, add

Then you get the equation

To find a PERPENDICULAR equation

The the slope of the perpendicular equation is

Opposite Reciprocal of the original equation

So the original equation had a slope of

Find the opposite reciprocal of that slope to find the slope of the perpendicular equation

The new slope is:

Then find b, by plugging in a given point so either (3,13) or (-8,17)

Simplify

Add 22 to both sides to isolate b

The Perpendicular Equation is: