# LINR 3 | Lesson 4 | Explore (Perpendicular Lines)

Two perpendicular lines intersect at the point $$(5,8)$$. What might be the equations of the lines?

Go to Desmos to plot the point and find some perpendicular lines that contain that point.

Desmos

Consider:

1. How can you find an equation that has $$(5,8)$$ as one of its points?
2. How can you find a perpendicular line through the point $$(5,8)$$?

(When you find your equations, remember to substitute $$(5,8)$$ into each equation to verify that your equations work.)

Are there any other solutions to this system? Why/why not?