Question

What is the slope of a line with endpoints (2,3) and (6,8)?

Answer 1

Answer:
`(5)/(4)`

Explanation:

The slope of a line passing through (a,b) and (c,d) is given by :-

`m=(d-b)/(c-a)`

The given points : (2,3) and (6,8)

Then, the slope of the line passing through (2,3) and (6,8) is given by :-

`m=(8-3)/(6-2)=(5)/(4)`

Hence, the slope of a line with endpoints (2,3) and (6,8) =
`(5)/(4)`

Answer 2

We don't need to graph the line. All we have to do is use our slope formula.

Answer is provided in the image attached.