Question

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

A) (0, 4)

B) (4, 0)

C) no intersection point

D) infinite intersection points

Answer 1

D. Infinite intersection points

Divide both sides of the second equation by 2 to find that it is equal to y = 4 - x, which is the same as the first equation.

Since they are the same equation, they are always touching each other since they are the exact same line, which means they are always intersecting, and there are infinite intersection points.