Question

Determine the slope of the line through the given points. If the slope is undefined, so state.( 3,2) and (6,11) the slope is?

Answer 1

Given the two points:

$\begin{gathered} (x_1,y_1)=(3,2) \\ \text{and} \\ (x_2,y_2)=(6,11) \end{gathered}$

The slope (m) is found by using the formula shown below:

$m=\frac{y_2-y_1}{x_2-x_1}$

To find the slope, we substitute the given points:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{11-2}{6-3} \\ m=\frac{9}{3} \\ m=3 \end{gathered}$

The slope is 3.