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

Answer 1

Hazel Anglin

#"slope "=-13/9#

#"to calculate the slope m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(4,-5)" and "(x_2,y_2)=(-5,8)#

#rArrm=(8-(-5))/(-5-4)=13/(-9)=-13/9#

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Answer 2

Nathan Axel

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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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.