# How do you determine the slope of the line passing through (-2, 3) and ( 4, 9 ) ?

Mar 16, 2018

See Explanation

#### Explanation:

The formula for slope is as follows:

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

So using your two points, (-2, 3) and (4, 9) we have
${x}_{1} = - 2$
${x}_{2} = 4$
${y}_{1} = 3$
${y}_{2} = 9$

Plug into the formula: $\frac{9 - 3}{4 - \left(- 2\right)}$

We get the slope as: $\frac{6}{6}$, which equals $1$

Slope = 1