Final answer:
To find the slope between two points, such as Point 1: (1, 0.1) and Point 2: (7, 26.8), use the slope formula (y2 - y1) / (x2 - x1), which yields a slope of approximately 4.45, corresponding to option b. 4.5.
Step-by-step explanation:
To find the slope of a line between two points, you can utilize the slope formula which is defined as the change in the y-coordinates divided by the change in the x-coordinates (rise over run). Specifically, the slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).
In this case, you have been provided with two points, Point 1: (1, 0.1) and Point 2: (7, 26.8). Applying the formula:
m = (26.8 - 0.1) / (7 - 1)
m = 26.7 / 6
m = 4.45
So, the slope of the line that passes through these two points is approximately 4.45, which is closest to option b. 4.5.