Question

A system of linear inequalities is shown below:

y ≥ -2x - 2
y + x ≥ 0

Describe the steps to graph the solution set to the system of inequalities.

Answer 1

Do you know how to draw lines in the plane?

Answer 2

SO So

Answer 3

im not that good

Answer 4

Okay, well the easiest way to draw a line is to first write it in slope-intercept form, \(y=mx+b\).

Ignore the inequalities for a moment, and consider your lines:
\[y=-2x-2\\
y=-x\]
The first line has slope -2 and a y-intercept of -2, and the second line has slope -1 and passes through the origin (intercept of 0):