# How do you write the point slope form of an equation for a lint that passes through (-4,8) with m=7/2?

Jun 12, 2018

See a solution process below:

#### Explanation:

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 the values from the point and the slope from the problem gives:

$\left(y - \textcolor{b l u e}{8}\right) = \textcolor{red}{\frac{7}{2}} \left(x - \textcolor{b l u e}{- 4}\right)$

$\left(y - \textcolor{b l u e}{8}\right) = \textcolor{red}{\frac{7}{2}} \left(x + \textcolor{b l u e}{4}\right)$