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!

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