Question

Find the slope of the line through the two points using the formula m. Simplify fractions.

A) 3/4
B) -3/2
C) -7/6
D) 2/3

Answer 1

The slope of the line passing through the points (1, 0.1) and (7, 26.8) is found by computing the change in y (rise) divided by the change in x (run), resulting in a slope of approximately 4.5.

Step-by-step explanation:

To find the slope of the line passing through two given points, use the following formula: m = (Y2 - Y1) / (X2 - X1), where m is the slope, (X1, Y1) is the first point, and (X2, Y2) is the second point. Applying this formula to Point 1: (1, 0.1) and Point 2: (7, 26.8), we calculate the slope as follows:

1. Find the change in y (rise): 26.8 - 0.1 = 26.7
2. Find the change in x (run): 7 - 1 = 6
3. Divide the rise by the run to get the slope: 26.7 / 6 = 4.45 (approximately)

Therefore, the slope m is approximately 4.5, which corresponds to option b.