Question

Using one coordinate plane, graph the functions y=−4x+1 and y=2x−3, and find the coordinates of the point of intersection. Now find the coordinates of the point of intersection without using the graphs. Compare your two results.

Answer 1

f(x) = -4x + 1

g(x) = 2x - 3

Set each other equal and solve for x.

-4x + 1 = 2x - 3

-6x = -4

x = 2/3

substitute x into either f or g and solve for y

-4(2/3) + 1

y = -1.667...

Intersect at

(.667,-1.667)