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# 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.

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