Question

the coordinates of two points on a line are (-3,0) and (1, -6). what is the slope of the line?

Answer 1

The slope is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

plugging the values given we have that:

$\begin{gathered} m=\frac{-6-0}{1-(-3)} \\ m=\frac{-6}{1+3} \\ m=-\frac{6}{4} \\ m=-\frac{3}{2} \end{gathered}$

Therefore the slope is -3/2