How do you graph #y=-2x-2#?

Question

How do you graph #y>=-2x-2#?

Genesis Allen · Accepted Answer

You graph a line as if it were an equals sign, then look at the symbol. Y is greater than, which means you shade above the line. (also note that it's a solid line because

it's greater than or equal to, if it's only a greater than or less than the line would be dotted.

Kennedy Adams · Answer

undefined To graph the inequality $ y \geq -2x - 2 $, you can follow these steps:

1. First, graph the line $ y = -2x - 2 $ as if it were an equation. This line represents the boundary of the inequality.

2. Since the inequality is $ y \geq -2x - 2 $, all points above or on this line are solutions.

3. To determine which side of the line represents the solutions, choose a test point not on the line. A common choice is the origin (0,0).

4. Substitute the coordinates of the test point into the original inequality. If the inequality is true, shade the region containing the test point. If false, shade the other region.

5. In this case, substitute (0,0) into the inequality:
   $ 0 \geq -2(0) - 2 $
   $ 0 \geq -2 $

6. Since $ 0 \geq -2 $ is true, shade the region containing the origin, which is above or on the line.

7. Draw the line $ y = -2x - 2 $ and shade the region above or on it.

8. Your graph should show a solid line representing $ y = -2x - 2 $ and the region above or on this line shaded.

How do you graph #y&gt;=-2x-2#?

How do you graph #y>=-2x-2#?