What is the equation in point-slope form of the line given (5,-1); m=-2/3?

Jun 26, 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 information from the problem gives:

$\left(y - \textcolor{b l u e}{- 1}\right) = \textcolor{red}{- \frac{2}{3}} \left(x - \textcolor{b l u e}{5}\right)$

$\left(y + \textcolor{b l u e}{1}\right) = \textcolor{red}{- \frac{2}{3}} \left(x - \textcolor{b l u e}{5}\right)$