How do you use the slope formula to find the slope of the line containing the points #(7/4, -5/8)# and #(-2/5, -8/5)#?

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Answer 1 · 2016-11-30T18:16:35

Please see the explanation.

Given two points, #(x_0,y_0) and (x_1,y_1)#, the slope, m. of the line segment connecting them is:

#m = (y_1 - y_0)/(x_1 - x_0)#

Given: #(7/4, - 5/8) and (-2/5,-8/5)#

#m = (-8/5 - -5/8)/(-2/5 - 7/4)#

#m = (-8/5 + 5/8)/(-2/5 - 7/4)40/40#

#m = (-64 + 25)/(-16 - 70)#

#m = (-39)/(-86)#

#m = 39/86#