# How do you find the slope of a line segment connecting points A(4,-5) and B(-5,8)?

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To find the slope of a line segment connecting two points, you use the formula:

[ m = \frac{y_2 - y_1}{x_2 - x_1} ]

Where ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points.

Substitute the coordinates of points A and B into the formula:

[ m = \frac{8 - (-5)}{-5 - 4} ]

[ m = \frac{13}{-9} ]

[ m = -\frac{13}{9} ]

So, the slope of the line segment connecting points A(4,-5) and B(-5,8) is ( -\frac{13}{9} ).

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