Question

Write the following inequality in slope-intercept form. −8x + 4y ≥ −52

Answer 1

`\large\boxed{y\geq2x-13}`

Explanation:

In this question, we're trying to make the inequality into slope intercept form.

Slope intercept form would be represented as: y = mx + b

We would get the y by itself and solve after that.

Solve:

`-8x + 4y \geq -52\\\\\text{Add 8x to both sides to get 4y by itself}\\\\4y\geq8x-52\\\\\text{Divide everything by 4}\\\\y\geq2x-13`

When you're done solving, you should get y ≥ 2x - 13

This means that the slope interceptr form of the inequality −8x + 4y ≥ −52 is y ≥ 2x - 13

I hope this helped you out.

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