What is the slope of the line that passes through (3, -7) and (-1, 1)?

Solution:

Given, the points (3, -7) and (-1, 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

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

\(\\m=\frac{1-(-7)}{-1-3}\\m=\frac{8}{-4}\)

m = -2

Therefore, the slope of the line is -2.

Example: Find the slope of the line through the pair of points. A(2, -3), P(2, 9)

Solution:

Given, the points A(2,-3) and P(2, 9).

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

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

\(\\m=\frac{9-(-3)}{2-2}\\m=\frac{12}{0}\)

Therefore, the slope of the line is 0.

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What is the slope of the line that passes through (3, -7) and (-1, 1)?

Summary:

The slope of the line that passes through the points (3, -7) and (-1, 1) is -2.