Question

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

Answer 1

`m=4`

Explanation:

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

`m=4`

Explanation:

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!