# How do you find the slope determined by these two slopes: (-2, 5/2) and (4, 1/2)?

Jan 26, 2017

See the entire solution process below:

#### Explanation:

To find the slope of a line using the two POINTS given in the problem use the formula for slope.

The slope can be found by using the formula: $m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $m$ is the slope and ($\textcolor{b l u e}{{x}_{1} , {y}_{1}}$) and ($\textcolor{red}{{x}_{2} , {y}_{2}}$) are the two points on the line.

Substituting the values from the problem gives:

$m = \frac{\textcolor{red}{\frac{1}{2}} - \textcolor{b l u e}{\frac{5}{2}}}{\textcolor{red}{4} - \textcolor{b l u e}{- 2}}$

$m = \frac{\textcolor{red}{\frac{1}{2}} - \textcolor{b l u e}{\frac{5}{2}}}{\textcolor{red}{4} + \textcolor{b l u e}{2}}$

$m = \frac{- \frac{4}{2}}{6}$

$m = - \frac{2}{6}$

$m = - \frac{1}{3}$