Question

Find the rate of change, slope, for the given line.

a) 4/7
b) 6/5
c) -5/4
d) -7/6

Answer 1

The slope of the line passing through the points (1, 0.1) and (7, 26.8) is calculated using the rise over run formula, resulting in a slope of approximately 4.5.

Step-by-step explanation:

To find the slope of a line passing through two given points, Point 1: (1, 0.1) and Point 2: (7, 26.8), we use the formula for slope (m) which is defined as the rise divided by the run. The rise is the change in y-values and the run is the change in x-values. Using the coordinates, we calculate the slope as follows:

Change in y (rise): 26.8 - 0.1 = 26.7

Change in x (run): 7 - 1 = 6

Slope (m) = Δy / Δx = 26.7 / 6 = 4.45

Thus, the slope of the line is approximately 4.5, which corresponds to option b.