Final answer:
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.