Question

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

Answer 1

Answer: $\dfrac{5}{4}$

Step-by-step explanation:

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

$m=\dfrac{d-b}{c-a}$

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

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

$m=\dfrac{8-3}{6-2}=\dfrac{5}{4}$

Hence, the  slope of a line with endpoints (2,3) and (6,8) = $\dfrac{5}{4}$

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.