Question

(1,-19),(-2,-7) leave as a Proper fraction

Answer 1

The slope formula m is given by

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

where the values on the right hand side come from our given points, that is

$\begin{gathered} (x_1,y_1)=(1,-19) \\ (x_2,y_2)=(-2,-7) \end{gathered}$

By substituting these values into the slope formula, we get

$m=\frac{-7-(-19)}{-2-1}$

which gives

$\begin{gathered} m=\frac{-7+19}{-3} \\ m=\frac{12}{-3} \\ m=-4 \end{gathered}$

then, the slope is equal to -4.