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=(y_2-y_1)/(x_2-x_1)`

To find the slope, we substitute the given points:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(11-2)/(6-3) \\ m=(9)/(3) \\ m=3 \end{gathered}`

The slope is 3.