Respuesta :

We are given the following two points

(-4, 0) and (-5, -3)

The slope is given by

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\text{where }(x_1,y_1)=(-4,0)\; \text{and }(x_2,y_2)=(-5,-3)[/tex]

Let us substitute the given values into the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{-5-(-4)}=\frac{-3}{-5+4}=\frac{-3}{-1}=3[/tex]

Therefore, the slope of the line is 3