In this case, we need to identify the graph of the following system of equations:
y = 2x - 6
y = -4x + 3
In order to graph these lines we just have to replace a value for x and solve for y, that way we can find two points where each line passes through and then we just have to join the points with a line, like this:
For y = 2x - 6
at x = 0
y = 2(0) - 6
y = 0 - 6
y = -6
at x = 1
y = 2(1) - 6
y = 2 - 6
y = -4
Then, the first line passes through the points (0, -6) and (1, -4)
For y = -4x + 3
at x = 0
y = -4(0) + 3
y = 0 + 3
y = 3
at x = 1
y = -4(1) + 3
y = -4 + 3
y = -1
Then, the second line passes through the points (0, 3) and (1, -1)
By graphing these points and drawing the lines, we get:
Then, select the following option: