Question

Find the slope of the line passing through each pair of points:

(5, 8) and (–4, 6)
A. -1/9
B. 1/9
C. -2/9
D. 2/9

Answer 1

Our answer is m = 2/9.

`\Large\texttt{Explanation}`

We are asked to find the slope passing through these two points:

(5,8) & (-4,6)

To find the slope through any two points, use the slope formula:

`\tt{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Substitute the values:

`\tt{m=\cfrac{6-8}{-4-5}}`

`\tt{m=\cfrac{-2}{-9}}`

`\tt{m=\cfrac{2}{9}}`

`\therefore` m = 2/9; option d is correct

Answer 2

D 2/9.

Explanation:

Slope = (y2-y1) / (x2-x1)

= (6-8)/(-4-5)

= -2/-9

= 2/9.