Question

Find the gradient of the line segment between the points (7,2) and (10,-5).

Answer 1

Given:

Two end points of a line segment are (7,2) and (10,-5).

To find:

The gradient of the given line segment.

Solution:

We know that, gradient of a line segment is the slope of that line segment.

The end points of the line segment are (7,2) and (10,-5), so slope or gradient of the line segment is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-5-2}{10-7}$

$m=\dfrac{-7}{3}$

Therefore, the gradient of the given line segment is $\dfrac{-7}{3}$.