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Find the gradient of the line segment between the points (-2,3) and (-4,-2).
Give your answer in its simplest form.

Sagot :

Given:

The two points are (-2,3) and (-4,-2).

To find:

The gradient of the line segment between the given points.

Solution:

The gradient is also known as slope.

The slope formula:

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

The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is

[tex]m=\dfrac{-2-3}{-4-(-2)}[/tex]

[tex]m=\dfrac{-5}{-4+2}[/tex]

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

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

Therefore, the gradient of the given line segment is [tex]m=\dfrac{5}{2}[/tex].

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