Find the slope of the line that passes through the points (3, 2) and (-2, -2).

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

Given, the points (3, 2) and (-2, -2).

We have to find the slope of the line passing through the given points.

The slope of the line passing through the two points is given by

\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=m\)

\(\\m=\frac{-2-2}{-2-3}\\m=\frac{-4}{-5}\)

Therefore, the slope of the line is 4/5.

Find the slope of the line that passes through the points (3, 2) and (-2, -2).

Summary:

The slope of the line passing through the points (3, 2) and (-2, -2) is m = 4/5.