Question

Using the slope formula, find the slope of a line that has the points (4, 5) and (6, 8).

A. m = 2/-3
B. m = 2/3
C. m = 3/2
D. m = -3/2

Answer 1

The slope of the line passing through the points (4, 5) and (6, 8) is calculated using the slope formula and is found to be 3/2.

Step-by-step explanation:

To find the slope of a line passing through the points (4, 5) and (6, 8), we use the slope formula, which is the change in y (rise) divided by the change in x (run). Let's denote the first point as (x1, y1) and the second point as (x2, y2). The slope formula is:

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

Substituting the given values into the slope formula:

m = (8 - 5) / (6 - 4) = 3 / 2

Therefore, the correct answer is C. m = 3/2.