Graph the solution of the system of linear inequalities.
y >= - x + 2
y <= 4x + 6
coordinates
To graph the solution of the system of linear inequalities, we first need to graph each inequality.
For the inequality y >= -x + 2, we start by graphing the line y = -x + 2. This line has a y-intercept of 2 and a slope of -1. We can plot a few points on the line to help with the graphing process.
When x = 0, y = -0 + 2 = 2, so we have the point (0, 2).
When x = 1, y = -1 + 2 = 1, so we have the point (1, 1).
When x = -1, y = -(-1) + 2 = 3, so we have the point (-1, 3).
Now we can graph the line y = -x + 2.