Question

Find the inequality represented by the graph in the picture below

Answer 1

`y \geq2x - 5`

Explanation:

First off, we can tell that the line has a positive slope because it's going upwards to the right. To find the slope of the line exactly, we will start at the first given point and count the units until we get to the next point.

(Remember that slope is written as rise/run.)

So the slope is 2/1 or just 2.

Next, we can tell that the y-intercept is -5, because that's where the line crosses the y-axis.

Additionally, since the line is solid, the inequality sign will either be the "greater than or equal to" sign, or the "lesser than or equal to" sign. In order to tell which one to use, we will look at the shaded area. Since the shaded area is above the line, y will be "greater than or equal to" the line.

So to put it together: The line written in slope-intercept form, is

`y \geq2x - 5`

Hope this helps you :)