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The red and the blue triangles drawn on the line are similar. 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
—– = rise 2
run 1 run 2
rise 1 + run 1 = rise 2 + run 2
run 1
—– = run 2
rise 1
The correct equation to show that the slope of the line is the same between any two points is:
rise 1 / run 1 = rise 2 / run 2
Explanation: This equation represents the concept of slope, which is a measure of steepness. For two similar triangles, the ratio of the vertical change (rise) to the horizontal change (run) between any two points must be equal. This ensures that the slope remains consistent along the line, confirming the similarity of the triangles.