Final answer:
The slope of the line that passes through the points (2,5) and (7,10) is calculated using the formula (y2 - y1) / (x2 - x1), which results in a slope of 1.
Step-by-step explanation:
The slope of a line on a standard xy-plane can be determined by using two points that the line passes through. The slope is calculated as the rise over run, which means the change in the y-values divided by the change in the x-values of the two points. To find the slope through the points (2,5) and (7,10), you can use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Substituting the given values:
m = (10 - 5) / (7 - 2) = 5 / 5 = 1
Therefore, the slope of the line passing through the points (2,5) and (7,10) is 1.