# What is the equation of a line that passes through (2,-1/2) and has a slope of 3?

Jul 23, 2017

$y = 3 x - \frac{13}{2}$

#### Explanation:

The easiest way to solve this problem is to use point slope. Point slope takes the form $y - {y}_{0} = m \left(x - {x}_{0}\right)$.

Plugging in our values, we get:

$y - \left(- \frac{1}{2}\right) = 3 \left(x - 2\right)$

$y = 3 x - 6 - \frac{1}{2}$

$y = 3 x - \frac{13}{2}$