# What is the orthocenter of a triangle with corners at #(2 ,3 )#, #(5 ,1 )#, and (9 ,6 )#?

##### 1 Answer

The Orthocenter is

#### Explanation:

Find the equation of the line that goes through the point

Find the equation of the line that goes through the point

The orthocenter is at the intersection of these two lines:

Because y = y, we set the right sides equal and solve for the x coordinate:

Multiply by 2:

Multiply by 5

#x = 121/23

The Orthocenter is