Write an inequality given the graph of the solution.
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Answer:
y < -3x + 2
Step-by-step 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.