Question

What is the slope of (-2 -3) and (6,2)

Answer 1

We are given the following points: (-2, -3) and (6, 2).

We are asked to find the slope of the line that passes through them.

To do this, we must recall the formula for finding the slope:

`\begin{gathered} Slope=(rise)/(run) \\ \\ Slope=(y_2-y_1)/(x_2-x_1) \end{gathered}`

Our variables are:

`\begin{gathered} x_1=-2 \\ x_2=6 \\ y_1=-3 \\ y_2=2 \end{gathered}`

Using these values, we can now solve for the slope.

`\begin{gathered} Slope=(2-(-3))/(6-(-2)) \\ \\ Slope=(5)/(8) \end{gathered}`

The answer is 5/8.