What is the slope of the line passing through the points (-3, 4) and (4, -1)?

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.

The slope of a line is the measure of the tangent of the angle made by the line with the x - axis.

Given, the points (-3, 4) and (4, -1).

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

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

\(\\m=\frac{-1-4}{4-(-3)}\\m=\frac{-5}{7}\)

Therefore, the slope of the line is -5/7.

What is the slope of the line passing through the points (-3, 4) and (4, -1)?

Summary:

The slope of the line passing through the points (-3, 4) and (4, -1) is m = -5/7.