Question

what is the slope of the line passing through the points (-3,4) and (2,-1)A. 3/5B. 1C. -1D. -5/3

Answer 1

The slope formula for two points is

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

where

$\begin{gathered} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,-1) \end{gathered}$

If we substitute these points into the slope formula, we have

$m=\frac{-1-4}{2-(-3)}$

which gives

$\begin{gathered} m=\frac{-5}{2+3} \\ m=\frac{-5}{5} \end{gathered}$

therefore m=-1. The answer is option C