# How do you write the point slope form of the equation given (5,5) and slope 3/5?

May 19, 2017

$y - 5 = \frac{3}{5} \left(x - 5\right)$

#### Explanation:

The formula for the point-slope is as follows: $y - {y}_{1} = m \left(x - {x}_{1}\right)$
where $m$ is the slope and $\left({x}_{1} , {y}_{1}\right)$ is a given coordinate:

We already have these two quantities:

$m = \frac{3}{5}$
And our coordinate is $\left(5 , 5\right)$ which we can let be $\left({x}_{1} , {y}_{1}\right)$

Let's substitute this information into the point slope formula:

$y - 5 = \frac{3}{5} \left(x - 5\right)$