Respuesta :

Given:

The objective is to find the slope of the straight line.

Explanation:

The general equation to find the slope is,

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

Let's consider two coordinates from the graph.

[tex]\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(-1,5) \end{gathered}[/tex]

On plugging the values in the equation of slope,

[tex]\begin{gathered} m=\frac{5-0}{-1-0} \\ m=-5 \end{gathered}[/tex]

Hence, the slope of the straight line is -5.