Question

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = - 4x and y = 2(- x + 1) intersect are the solutions the equation - 4x - 2(- x + 1) (points) Part : B Make to find the solution to - 4x = 2(- x + 1) Take the integer values of x between2 and 2. (points) Part C: How can you solve the equation - 4x = 2(- x + 1) graphically?

Answer 1

Answer: 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

Step-by-step explanation: