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Sedaia [141]
3 years ago
12

Find the slope of the line passing through the points (-1,3) and (4,-7

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

You use the slope formula:

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

m is the slope. Plug in the points.

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

m = \frac{-7 - 3}{4+1}

m = \frac{-10}{5}

m = -2

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Answer:

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Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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In which m is the slope.

Parallel lines:

Parallel lines have the same slope.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

We have the following line:

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Same slope, so the parallel line has slope \frac{20}{7}

Perpendicular line:

Multiplication of the slopes is -1. So

\frac{20m}{7} = -1

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