# How do you find the slope for A(2,6) B(4,7)?

Jul 17, 2016

The slope equals $m = \frac{1}{2}$

#### Explanation:

Slope which is the change in $x$ versus the change in $y$.

Slope is identified by the letter $m$

$m = \frac{\Delta y}{\Delta x}$

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

$\left(2 , 6\right)$ and $\left(4 , 7\right)$

${x}_{1} = 2$
${y}_{1} = 6$
${x}_{2} = 4$
${y}_{2} = 7$

$m = \frac{7 - 6}{4 - 2}$

$m = \frac{1}{2}$

The slope equals $m = \frac{1}{2}$