Question

Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points)

Answer 1

Each equation is a line and therefore will intercept each other at a single point. These points converge where the two y values are the same as that will produce the same coordinate. Therefore, we find the place where the two y values are equal to each other by setting the equations equal to each other.