Question

Write an inequality given the graph of the solution.

Answer 1

the answer is y>-3x-2

Answer 2

y < -3x + 2

Explanation:

Slope-intercept form:

y = mx + b

Let's first find the slope (m)

We can use the rise over run formula to find the slope by finding two points

Let's use (1, -1) and (0, 2)

2 - (-1) divided by 0 - 1 (rise over run formula)

3 divided by -1

or -3

Then, let's find the y-intercept (b)

This is super easy. This is just the point where the line crosses the y-axis. We can see this is (0, 2) so b is 2

Put it all together

y < -3x + 2

Note that it's '<' because of the shaded part.