# How do you write an equation that passes through the point (-2, 4) with a slope of 1/2?

Mar 9, 2018

See a solution process below:

#### Explanation:

We can use the point-slope formula to write an equation for the line passing through the two points in the problem, The point-slope form of a linear equation is: $\left(y - \textcolor{b l u e}{{y}_{1}}\right) = \textcolor{red}{m} \left(x - \textcolor{b l u e}{{x}_{1}}\right)$

Where $\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ is a point on the line and $\textcolor{red}{m}$ is the slope.

Substituting gives:

$\left(y - \textcolor{b l u e}{4}\right) = \textcolor{red}{\frac{1}{2}} \left(x - \textcolor{b l u e}{- 2}\right)$

$\left(y - \textcolor{b l u e}{4}\right) = \textcolor{red}{\frac{1}{2}} \left(x + \textcolor{b l u e}{2}\right)$