Question

Find the slope of the line that contains the points named. A(3, 2), B(7, 8) 5/2 3/2 2/3

Answer 1

Answer: $\dfrac{3}{2}$

Step-by-step explanation:

We know that the formula to calculate the slope of line contains points (a,b) and (c,d) is given by :-

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

The slope of the line that contains the points named. A(3, 2), B(7, 8) will be:-

$m=\dfrac{8-2}{7-3}\\\\\Rightarrow\ m=\dfrac{6}{4}\\\\\Rightarrow\ m=\dfrac{3}{2}$

Hence, the slope of the line  that contains the points named. A(3, 2), B(7, 8)  is $\dfrac{3}{2}$

Answer 2

If two points (a,b) and (x,y) are given use the following formula

slope=y-b/x-a

slope btw (3,2) and (7,8) becomes

slope=8-2/7-3=6/4=3/2
B is the answer.