Respuesta :

Given:

There are given the graph of the line.

Explanation:

To find the slope of the line, first, we need to select the two points from the graph.

So,

The two points are:

[tex](-2,2)\text{ and }(0,\text{ -3\rparen}[/tex]

Now,

From the formula of slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

[tex]x_1=-2,y_1=2,x_2=0,y_2=-3[/tex]

Then,

Put all the above values into the formula of the slope:

So,

[tex]\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ m=\frac{-3-2}{0-\left(-2\right)} \\ m=-\frac{5}{2} \end{gathered}[/tex]

Final answer:

Because the given options are incorrect. hence, the correct answer is:

[tex]-\frac{5}{2}[/tex]

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