# How do you write the equation in point slope form given (-3,1); (0,2)?

Mar 15, 2016

y= $\frac{1}{3} x + 2$

#### Explanation:

The general form of a linear equation is $y = m x + b$ where $m$ is the slope and $b$ is the y-intercept. In this case the point $\left(0 , 2\right)$ is located on the y axis and is infact the y-intercept. So, in our general formula, $b = 2$. To find the slope we use the formula:
$m$ =$\left(\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}\right)$

$m$ = $\left(\frac{2 - 1}{0 - - 3}\right)$ = $\frac{1}{3}$
Using these two bits of information I can write the equation as:
$y = \frac{1}{3} x + 2$