Question

Find the slope of the line that passes through (-40, 20) and (-15, 100).

Answer 1

Slope

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Let's solve the problem given to us today! The problem is the following:

`\mapsto\quad\textbf{Find the slope through (-40,20) and (-15,100).}`

We need to find the slope of the line through these two points. We will do that by using our slope formula.

SLOPE FORMULA

`m=\cfrac{y_2-y_1}{x_2-x_1}`

Substitute the values:
`m=\cfrac{100-20}{-15-(-40)}`

Simplify:
`m=\cfrac{80}{-15+40}}`

Simplify further:
`m=\cfrac{80}{25}}`

Reduce:
`m=\cfrac{16}{5}}`

Therefore, our slope is m = 16/5.

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Answer 2

16/5

Explanation:

To find the slope, we do rise/run. The rise is calculated by the difference in the y-values and the rise by the difference in the x-values.

Rise = 100-20 = 80

Run = -15-(-40) = -15+40 = 25

rise/run = 80/25

Simplify:

80/25 = 16/5