What is the slope of the line passing through the following points: #(5,3) , (–5, 5) #?

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Answer 1 · 2018-05-29T16:54:48

#=>-1/5#

Slope in two dimensions is defined as the relative change in one dimension compared to the change in the other dimension.

Specifically for 2D Cartesian coordinates, we define slope #m# as:

#m = {Delta y}/ {Delta x}={y_2-y_1}/{x_2-x_1}#

given two points #"P"_1(x_1,y_1)# and #"P"_2(x_2,y_2)#.

In this problem we are given #"P"_1 = (5,3)# and #"P"_2 = (-5,5)#

#m = (5-3)/(-5-5)=2/(-10) = -1/5#

Answer 2 · 2018-05-29T17:02:02

#m=-1/5#

After the formula
#m=(y_2-y_1)/(x_2-x_1)#

we get
#m=(5-3)/(-5-5)=-2/10=-1/5#