Question

Find the inequality represented by the graph.

Answer 1

`\boxed{\bf{\underline{ y\le -\cfrac{3}{2}x-2}}}`

Explanation:

From the given graph,

`\bf y-intercept :\boxed{\tt -2}`

`\bf Slope:\tt \cfrac{\Delta y}{\Delta x} =\cfrac{-3}{2} =\boxed{-\cfrac{3}{2} }`

Notice that graph is shaded below (not above), so y is less than the other side of the inequality. the graph elso has a solid line (not dashed), so we are dealing with an "or equal to" inequality.

Therefore, we should use the less than or equal to symbol.

`\boxed{\bf{ y\le -\cfrac{3}{2}x-2}}`

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Hope this helps!

Have a great day!