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. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points) (10 points)

Part A:
 We observe that we have the following system of equations:
 y = 4x
 y = 2x-2
 The solution to the system of equations is an ordered pair (x, y), that is, a point in common that both functions have.

 Part B:

 x    y = 4x    y = 2x-2
 -3     -12           -8
 -2      -8            -6
 -1      -4            -4
  0       0            -2
  1       4             0
  2       8             2
  3      12            4
 The solution is the ordered pair:
 (x, y) = (-1, -4)

 Part C:
 See attached image

The correct answer is 7