What equation can be used to show that the slope of the line is the same between any two points?
rise 1 ⋅ run 1 = rise 2 ⋅ run 2
rise 1 + run 1 = rise 2 + run 2
rise 1
run 1 = rise 2
run 2
run 1
rise 2 = run 2
rise 1
Equation for Consistent Slope Between Points
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The correct equation to show that the slope of the line is the same between any two points is:
(frac{rise_1}{run_1} = frac{rise_2}{run_2})
### Explanation:
In this context, “rise” refers to the change in the y-coordinates (vertical change) between two points, and “run” refers to the change in the x-coordinates (horizontal change). The slope of a line, which is constant between any two points on that line, is defined as the ratio of the rise to the run. Thus, the equation expresses that the slope calculated from any two segments of the line (between two sets of points) will be equal.
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