The slope of a line that passes through the points (20, 30) and (40, 14) is

Solution:

Given, the points are (20, 30) and (40,14)

We have to find the slope of the line passing through the given points.

The slope of the line passing through two points is given by

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

Here, (x₁,y₁) = (20, 30) and (x₂, y₂) = (40,14)

Slope = \(\frac{14-30}{40-20}\)

m = \(\frac{-16}{20}\)

m = \(\frac{-4}{5}\)

Therefore, the slope is -4/5.

Example:

What is the slope of the line passing through the points (1, -5) and (4, 1)?

Solution:

Given, the points are (1, -5) and (4, 1)

We have to find the slope of the line passing through the given points.

The slope of the line passing through two points is given by

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

Here, (x₁,y₁) = (1, -5) and (x₂, y₂) = (4, 1)

Slope = \(\frac{1-(-5)}{4-1}\)

m = \(\frac{1+5}{3}\)

m = \(\frac{6}{3}\)

m = 2

Therefore, the slope is 2.

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The slope of a line that passes through the points (20, 30) and (40, 14) is

Summary:

The slope of the line passing through the points (20, 30) and (40, 14) is -4/5.