Question

Find the slope through each pair of two points. Report answers in simplest form.

a) 1/2
b) −1/2
c) 3/2
d) −3/2

Answer 1

The slope of the line passing through the points (1, 0.1) and (7, 26.8) is 4.45, which aligns with option b) 4.5.

Step-by-step explanation:

To find the slope of a line passing through two points, use the formula m = (y2 - y1) / (x2 - x1), where m represents the slope, and (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the points provided, Point 1: (1, 0.1) and Point 2: (7, 26.8), we can calculate the slope as follows:

1. Subtract the y-coordinates: 26.8 - 0.1 = 26.7
2. Subtract the x-coordinates: 7 - 1 = 6
3. Divide the difference in y-coordinates by the difference in x-coordinates: 26.7 / 6 = 4.45

Therefore, the slope of the line passing through the two points is approximately 4.45, which corresponds to answer choice b) 4.5.