Respuesta :

Answer:

The slope is:

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

Step-by-step explanation:

The slope m of a line is calculated using the following formula

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

Where the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]  are two points belonging to the straight line

Notice in the graph that the line passes through the points

(0, 2) and (2, -1)

Then the slope is:

[tex]m=\frac{-1-2}{2-0}[/tex]

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