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Can someone help me with this? Please and thank you!

Can someone help me with this? Please and thank you!-example-1

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The Solution:

Given:

We are to write an inequality in slope-intercept form for the graph.

By the formula for the equation of a line, we have:


(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)

In this case,


\begin{gathered} x_1=0 \\ y_1=-2 \\ x_2=1 \\ y_2=1 \end{gathered}

Substituting these values, we get


\frac{y--2_{}}{x-0_{}}\leq\frac{1_{}--2_{}}{1_{}-0_{}}
\begin{gathered} \frac{y+2_{}}{x_{}}\ge\frac{1_{}+2_{}}{1_{}_{}} \\ \\ \frac{y+2_{}}{x_{}}\ge3 \\ \\ \text{ Multiplying both sides by x.} \\ y+2\ge3x \\ y\ge3x-2 \end{gathered}

Therefore, the correct answer is:


y\ge3x-2

Can someone help me with this? Please and thank you!-example-1
User Abpatil
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