# What is the formula to find the slope given two points?

Nov 13, 2014

Slope Formula

The slope formula of the line passing through the points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ can be found by:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

So to find the slope of a line segment joining the points ( 2, - 5) and (- 2, 4).

First, label the points as ${x}_{1}$ = 2, ${y}_{1}$ = - 5, ${x}_{2}$ = -2 and ${y}_{2}$ = 4

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ = $\frac{4 - - 5}{- 2 - 2}$ = $\frac{9}{- 4}$ = $\frac{- 9}{4}$

So, the slope ($m$) = -9/4.