What is the slope of the line passing through the following points: (0,3),(-5,-2) ?

Feb 5, 2016

Slope: $\left(+ 1\right)$

Explanation:

Given the points:
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{1} , {y}_{1}\right) = \left(0 , 3\right)$
$\textcolor{w h i t e}{\text{XXX}} \left({x}_{2} , {y}_{2}\right) = \left(- 5 , - 2\right)$

By definition
color(white)("XXX")"slope" = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)

In this case
color(white)("XXX")"slope" = (-2-3)/(-5-0) = (-5)/(-5) = 1