Part A: 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.

Question

Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 4x = 2x−2 graphically?

Answer 1

the graphs intersect where both x and y are the same on both graphs. That is, given any particular value of x, you want

4x = 2x-2

the table part is easy. To solve graphically, draw the graphs and note where they intersect.