What is the slope of the line passing through the following points: # (8,10), (6,2)#?

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Answer 1 · 2018-06-22T00:36:51

#m=4#

Determine the slope:

#(color(blue)(x_1),color(blue)(y_1)) = (6,2)#

#(color(red)(x_2),color(red)(y_2))=(8,10)#

#color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))#

#color(green)m =(color(red)(10)-color(blue)(2))/(color(red)(8 )-color(blue)(6))=8/2=4#

Answer 2 · 2018-06-22T00:51:27

#m=4#

Slope is essentially #(Deltay)/(Deltax)#, where the Greek letter Delta (#Delta#), means "change in".

We need to find out how much our #y# changes and how much our #x# changes.

#Deltay=10-2=8#

#Deltax=8-6=2#

Plugging these into our slope formula, we get

#8/2=4# as our slope.

Hope this helps!