When finding the intersection of two lines from both Algebra 1 and Geometry. you first "set the linear equations equal" to each other.

Question

Find the intersection POINT of the two lines whose equations are shown below. Be sure to find both the x and y coordinates. y = 5x +1 and y = 2x-11

Answer 1

5x+1 = 2x-11

3x = -12

x = -4

y=5(-4)+1 =-19

(-4,-19) is the point of intersection