A line segment passes through the points (2,6) and (10,30). Calculate the gradient of the line.

Vangheem asked Sep 27, 2023

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6 votes

A line segment passes through the points (2,6) and

(10,30).
Calculate the gradient of the line.

Vangheem asked Sep 27, 2023

2.9k points

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18 votes

Answer:

The gradient (slope) of the line is 3

Explanation:

Use the formula for slope where
$(x_1,y_1)\rightarrow(2,6)$ and
$(x_2,y_2)\rightarrow(10,30)$

$m=(y_2-y_1)/(x_2-x_1)\\ \\m=(30-6)/(10-2)\\ \\m=(24)/(8)\\ \\m=3$

Therefore, the gradient (slope) of the line is 3

Bob Somers answered Oct 3, 2023

3.0k points

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