Final answer:
The slope between two points with the same unit of measure for both x and y will result in a unitless measurement, as the units cancel each other out when calculating the rise over run.
Step-by-step explanation:
When the units for x and y are the same, the slope is indeed unitless. This is because slope is calculated as the change in y over the change in x (rise over run), and when the units are the same for both, they cancel each other out, resulting in a dimensionless number.
To find the slope between two points, you subtract the y values of the points called the rise, and then subtract the x values of the points called the run. For example, given Point 1: (1, 0.1) and Point 2: (7, 26.8), the slope (m) would be:
(26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45
The equation of a straight-line graph is generally expressed in the form y = mx + b, where m represents the slope and b represents the y-intercept.