How do you graph the inequality #2x + y > -2#?

To graph the inequality 2x + y > -2, you first rewrite it in slope-intercept form, which is y = mx + b. To do this, subtract 2x from both sides to isolate y, giving y > -2x - 2.

Next, identify the y-intercept, which is -2 in this case. Plot a point on the y-axis at -2. Then, use the slope, which is -2 in this case, to find another point. Since the slope is -2, it means that for every 1 unit increase in x, y decreases by 2 units. So, from the y-intercept, move down 2 units and right 1 unit to plot another point.

Finally, draw a dashed line through the two points. Since the inequality is greater than (>) and not greater than or equal to (≥), the line should be dashed to indicate that the points on the line are not included in the solution set.

To determine which side of the line to shade, choose a test point not on the line, like (0, 0). Substitute the x and y values into the original inequality. If the statement is true, shade the region containing the test point. In this case, (0, 0) satisfies the inequality (0 > -2), so shade the region below the dashed line.

That's how you graph the inequality 2x + y > -2.