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iren [92.7K]
2 years ago
14

A line passes through points (2,5) and (5, 14). What is the slope of this line?

Mathematics
1 answer:
topjm [15]2 years ago
7 0

<u>We know that:</u>

Slope of a line = change in y coordinate / change in x coordinate

<u>We are given:</u>

First point = (2,5)

Second point = (5, 14)

<u>Calculating the change in y coordinate:</u>

change in y (also represented by Δy) = second y - first y

Δy = 14 - 5

Δy = 9

<u>Calculating the change in x coordinate:</u>

Δx = second x - first x

Δx = 5 - 2

Δx = 3

<u>Slope of the line:</u>

Slope = (Δy) / (Δx)

Slope = 9 / 3                                              [replacing the values]

Slope = 3

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