# What is the point-slope form of the line that passes through (1,1) and (3,5)?

Nov 6, 2015

Slope: $2$

#### Explanation:

The formula for slope given points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the formula for slope is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

Since rise is change in $y$ and run is change in $x$, this is also seen as $\frac{r i s e}{r u n}$.

For your points, you would simply plug into the formula.

$\frac{5 - 1}{3 - 1}$

= $\frac{4}{2}$

= $2$, which is your slope.