Find the intersection of lines y = 2x + 1 and y = -x + 4.

Find the intersection of lines y = 2x + 1 and y = -x + 4.

Approach: Set equations equal to each other.

(1, 3). 2x + 1 = -x + 4 -> 3x = 3 -> x = 1, y = 3.

Follow-up: Are these lines perpendicular?

Key concepts: linear systems.