What is the slope of the line passing through the following points: #(9, -10), (14,-6) #?

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Answer 1 · 2018-06-25T13:17:43

#4/5#

#(y_2-y_1)/(x_2-x_1)#

In our case, #(x_1,y_1)# is #(9,-10)# and #(x_2,y_2)# is #(14,-6)#.

#(-6-(-10))/(14-9)=4/5#

Hope this helped!!

Answer 2 · 2018-06-25T13:18:55

#4/5#

To find the slope of any line when only the points are given, use the slope formula:

#m = (y_2 - y_1)/(x_2-x_1)#

Call #(9,-10)# Point 1. This means that:

#x_1 = 9#
#y_1 = -10#

Call #(14,-6)# Point 2. This means that:

#x_2 = 14#
#y_2 = -6#

Now substitute those values into the equation:

#m = (y_2 - y_1)/(x_2-x_1)#

#m = ((-6) - (-10))/((14)-(9)#

#m = (-6 + 10 )/(14-9#

#m = (4 )/(5#

The slope of this line is #4/5#.