Question

A line contains the points (-12, -60) and (60, -42).

What is the slope of the line in simplified form?

Answer 1

The slope of the line in simplified form is $\frac{1}{4}$

Step-by-step explanation:

The slope of a line which contains points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

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

The given is:

1. Point (-12 , -60) lies on the line

2. Point (60 , -42) lies on the line

We need to find the slope of the line

∵ $(x_{1},y_{1})$ = (-12 , -60)

∵ $(x_{2},y_{2})$ = (60 , -42)

- Substitute these values in the rule

∴ $m=\frac{-42-(-60)}{60-(-12)}$

∴ $m=\frac{-42+60}{60+12}$

∴ $m=\frac{18}{72}$

∴ $m=\frac{1}{4}$

The slope of the line in simplified form is $\frac{1}{4}$

Learn more:

You can learn more about the slope of a line in brainly.com/question/12954015

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