What is the slope of the line through (3, 4) and (6, 10)?

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Multiple Choice

What is the slope of the line through (3, 4) and (6, 10)?

Explanation:
Slope tells us how steep a line is, and it’s found by rise over run between two points. From (3, 4) to (6, 10), the rise is 10 − 4 = 6 and the run is 6 − 3 = 3. So the slope is 6/3 = 2. A positive slope means the line goes upward as x increases, which matches these two points. If the slope were 3, the rise would need to be 9 for a run of 3; if it were 1, the rise would be 3 for a run of 3; if it were 4/3, the rise would be 4 for a run of 3. None of those match the actual rise of 6 over 3, so the slope is 2.

Slope tells us how steep a line is, and it’s found by rise over run between two points. From (3, 4) to (6, 10), the rise is 10 − 4 = 6 and the run is 6 − 3 = 3. So the slope is 6/3 = 2. A positive slope means the line goes upward as x increases, which matches these two points. If the slope were 3, the rise would need to be 9 for a run of 3; if it were 1, the rise would be 3 for a run of 3; if it were 4/3, the rise would be 4 for a run of 3. None of those match the actual rise of 6 over 3, so the slope is 2.

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