Question

Find the slope, if it exists, of the line containing the points (-4,0) and (-5, -3).

Answer 1

We are given the following two points

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

The slope is given by

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

Let us substitute the given values into the slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{-5-(-4)}=\frac{-3}{-5+4}=\frac{-3}{-1}=3$

Therefore, the slope of the line is 3