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:
[tex]\begin{gathered} Slope=\frac{rise}{run} \\ \\ Slope=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Our variables are:
[tex]\begin{gathered} x_1=-2 \\ x_2=6 \\ y_1=-3 \\ y_2=2 \end{gathered}[/tex]Using these values, we can now solve for the slope.
[tex]\begin{gathered} Slope=\frac{2-(-3)}{6-(-2)} \\ \\ Slope=\frac{5}{8} \end{gathered}[/tex]The answer is 5/8.
