safina046raja
Answered

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Find the gradient of the line segment between the points (1,-2) and (-2,10).​

Sagot :

Given:

A line segment is between the points (1,-2) and (-2,10).​

To find:

The gradient of the given line segment.

Solution:

We know that gradient of the given line segment means slope of the line segment.

The line segment between the points (1,-2) and (-2,10).​ So, slope of the line segment is

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

[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]

[tex]m=\dfrac{10+2}{-3}[/tex]

[tex]m=\dfrac{12}{-3}[/tex]

[tex]m=-4[/tex]

Therefore, the gradient of the given line segment is -4.

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