Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 8−x−1 intersect are the solutions of the equation 4−x = 8−x−1. (4 points)

Part B: Make tables to find the solution to 4−x = 8−x−1. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4−x = 8−x−1 graphically? (2 points)

Answer 1

Part A: Y=4-x and Y=8-x-1 is just a fancy way of showing the point of intersection, or where both slopes meet,  so to figure out x is the point where the x meets.
Part B: Just plug in number between -3-(3) for x
Part C: Solve the equation by drawing the slope of both equations and find where both lines intersect