Answer: y < -2x + 2
Explanation:
We will be writing this inequality in slope-intercept form. This is y = mx + b, where m is the slope and b is the y-intercept.
First, we notice that the graph is shaded below the line and is dashed. We will use the "<" (less than) sign.
Next, we see that the line intercepts the y-axis at positive 2, this is our b value.
Now we need to find the slope. Since we are given a graph with clear coordinate points, we can use "rise over run" to find the slope. This finds the change in y over the change in x.
Lastly, we can create our equation.
y = mx + b
y < -2x + 2