How do you find the slope of the line through the points (3,7) and (6,10)?

1 Answer
Jan 31, 2017

See the entire solution process below:

Explanation:

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 points in the problem into the formula and calculating gives:

$m = \frac{\textcolor{red}{10} - \textcolor{b l u e}{7}}{\textcolor{red}{6} - \textcolor{b l u e}{3}} = \frac{3}{3} = 1$

The slope of the line is $1$