Question

A line contains the points (82, −96) and (87, −86). What is the slope of the line in simplified form?

a. \( \frac{5}{1} \)
b. \( \frac{10}{5} \)
c. \( \frac{1}{5} \)
d. \( \frac{2}{5} \)

Answer 1

The slope of the line passing through the given points is 2.

Step-by-step explanation:

To find the slope of a line passing through two points, we can use the formula:

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

Given the points (82, -96) and (87, -86), we can substitute the values into the formula:

m = (-86 - (-96)) / (87 - 82) = 10 / 5 = 2

Therefore, the slope of the line is 2. The correct answer is b. 4.5.