Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2x and y = 4x−2 intersect are the solutions of the equation 2x = 4x−2. (4 points)Part B: Make tables to find the solution to 2x = 4x−2. Take the integer values of x between −4 and 4. (4 points)Part C: How can you solve the equation 2x = 4x−2 graphically? (2 points)

Answer:See below.Step-by-step explanation:Part A: You can solve the equations for an x value which make both true. You do this by setting each equation equal and using inverse operations.2x = 4x - 22x - 4x = 4x - 4x - 2-2x = -2x = 1Part B: You can make a table by substituting the values -4 to 4 in each equation and simplifying.x     y = 2x      y = 4x - 2-4           -8            -18-3           -6             -14-2           -4             -10-1             -2            -60              0             -21               2              22              4              63              6              104              8              14Part C: You can graph each equation and where they intersect will be the solution. They intersect at (1, 2). This is where they have the exact same x and y value in the table as well.