# How do you find the slope of (4,9), (1,6)?

Jun 5, 2015

slope = (change in $y$) / (change in $x$)

More formally, if a line passes through two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, then the slope $m$ of the line is given by the formula:

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

In the case of the points $\left(4 , 9\right)$ and $\left(1 , 6\right)$, we get:

$m = \frac{6 - 9}{1 - 4} = \frac{- 3}{- 3} = 1$