The slope of the line through points (0,0) and (4,3) is ______.

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Multiple Choice

The slope of the line through points (0,0) and (4,3) is ______.

Explanation:
Slope is the rise over run—how much the line goes up for each unit it moves to the right. Between (0,0) and (4,3) the vertical change is 3 and the horizontal change is 4, so the slope is 3/4. That matches the given coordinates exactly. A slope of 4/3 would come from swapping rise and run (like from (0,0) to (3,4)); a slope of 0 would mean no vertical change (a horizontal line); a slope of 1 would mean equal rise and run (like from (0,0) to (n,n)).

Slope is the rise over run—how much the line goes up for each unit it moves to the right. Between (0,0) and (4,3) the vertical change is 3 and the horizontal change is 4, so the slope is 3/4. That matches the given coordinates exactly. A slope of 4/3 would come from swapping rise and run (like from (0,0) to (3,4)); a slope of 0 would mean no vertical change (a horizontal line); a slope of 1 would mean equal rise and run (like from (0,0) to (n,n)).

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