Respuesta :

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

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-5-2}{10-7}[/tex]

[tex]m=\dfrac{-7}{3}[/tex]

Therefore, the gradient of the given line segment is [tex]\dfrac{-7}{3}[/tex].