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What is the slope of a line on a standard xy-plane that passes through the point (2,5) and (7,10)?

User Zafir
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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.

User Emre Kilinc Arslan
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