Question

Find the slope of the line that contains the following points. A(5, 6), B(10, 8)

Answer 1

Slope formula : (y2 - y1) / (x2 - x1)
(5,6)....x1 = 5 and y1 = 6
(10,8)...x2 = 10 and y2 = 8
now we sub and solve
slope = (8 - 6) / (10 - 5) = 2/5 <==

Answer 2

Answer:  The correct option is (B) $\dfrac{2}{5}.$

Step-by-step explanation:  We are given to find the slope of the line that contains the points A(5, 6) and B(10, 8).

We know that

the SLOPE of a line containing the points (a, b) and (c, d) is given by

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

From the given information,

(a, b) = (5, 6)   and   (c, d) = (10, 8).

Therefore, the slope of the line AB will be

$m=\dfrac{d-b}{c-a}\\\\\\\Rightarrow m=\dfrac{8-6}{10-5}\\\\\\\Rightarrow m=\dfrac{2}{5}.$

Thus, the slope of the given line is $\dfrac{2}{5}.$

Option (B) is correct.