Question

find the inequality represented by the graph​

Answer 1

Answer:

y ≤ 1x-1

Explanation:

line is not dotted = ___ than or equal to

shaded area below line = less than

so: ≤

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y=mx+b

y intercept -1 (line intersects y line on -1)

y=mx-1

points (1,0) (0, -1)

find slope

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in conclusion, y ≤ 1x - 1

Answer 2

Answer:

First, find the function of the line:

• slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{0-3}{0-4} =\frac{-3}{-4}=\frac{3}{4}$
• y-intercept = 0

Therefore, the function is $y=\frac{3}{4} x$.

Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be $y<\frac{3}{4} x$.