Part a: explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the solutions of the equation 8x = 2x + 2. (4 points)

part b make tables to find the solution to 8x = 2x + 2. take the integer values of x between -3 and 3.

part c: how can you solve the equation 8x = 2x + 2 graphically?

A) At the intersection, the values of of x and y of the equations are the same. Because of this, we can equate their y values to get an equation in the form of only x.

B)
8(-3) = 2(-3) + 2 → -24 =/= -4
8(-2) = 2(-2) + 2 → -16 =/= -2
8(-1) = 2(-1) + 2 → -8 =/= 0
8(0) = 2(0) + 2 → 0 =/= 2
8(1) = 2(1) + 2 → 8 =/= 4
8(2) = 2(2) + 2 → 16 =/= 6
8(3) = 2(3) + 2 → 24 =/= 14
The solution lies between x = 0 and x = 1.

We can graph both equations and find the value of x and y at which they intersect.