What is the slope of the line that goes through #(-3,12)# and #(4,-17)#?

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What is the slope of the line that goes through #(-3,12)# and #(4,-17)#?

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Answer 1 · 2018-03-18T21:47:43

#-29/7#

Explanation:

We are given: #p_1=(color(blue)(x_1),color(red)(y_1))=(color(blue)(-3),color(red)(12))#
We are given: #p_2=(color(orange)(x_2),color(green)(y_2))=(color(orange)(4),color(green)(-17))#

The slope is given as: #m = ((color(green)(y_2)-color(red)(y_1)))/((color(orange)(x_2)-color(blue)(x_1))) = ((color(green)((-17))-color(red)(12)))/((color(orange)(4)-color(blue)((-3)))) = -(29)/(7)#

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What is the slope of the line that goes through #(-3,12)# and #(4,-17)#?

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