Respuesta :

Given:

There are given the line to find the slope.

Explanation:

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

So,

The points are:

[tex](0,3),and,(2,0)[/tex]

Now,

From the formula of the slope:

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

Where,

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

Then,

Put all the values into the above formula:

So,

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

Final answer:

Hence, the slope of the line is shown below:

[tex]m=-\frac{3}{2}[/tex]

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