Line AB contains points A (8, -4) and B (1, -5). The slope of line AB is
-7, -1/7, 1/7, 7

Solution:

Answer is option (iii).

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

We have slope of line joining two points (x₁, y₁) and (x₂, y₂) as:

m = (y₂ - y₁)/(x₂ - x₁).

Given:

(x₁, y₁) = (8, -4)

(x₂, y₂) = (1, -5)

Slope m = (y₂ - y₁)/(x₂ - x₁)

= (-5 -(-4))/(1 - 8)

= -1/-7

= 1/7

Therefore, the slope of the line passing through the points A (8, -4) and B (1, -5) is 1/7.

Line AB contains points A (8, -4) and B (1, -5). The slope of line AB is

Summary:

The slope of the line passing through the points A (8, -4) and B (1, -5) is m = 1/7.