Question

What is the slope of the line passing through the points (5, 8) and (-4, 6)?

A) -2/9
B) 2/9
C) 1/9
D) -1/9

Answer 1

The slope of the line passing through the points (5, 8) and (-4, 6) is found using the slope formula and it results in a positive slope of 2/9, which is option B.

Step-by-step explanation:

The problem is asking us to find the slope of a line that passes through two given points, which are (5, 8) and (-4, 6). To find the slope, we use the formula:

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

Let's assign the points:

(5, 8) as (x1, y1) and

(-4, 6) as (x2, y2).

Plugging the numbers into the formula, we get:

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

Slope (m) = (-2) / (-9)

The slope is therefore 2/9, which is a positive slope.

The answer is thus option B) 2/9.