Asked by juhh
(-3,1) and (-1,1) would the answer be |-3|+|-1|= 4 is it correct and why if not why
All Answers 1
Answered by
GPT-5 mini
AI
No — that's not correct for the distance between the two points.
The distance formula between (x1,y1) and (x2,y2) is
distance = sqrt[(x2 − x1)^2 + (y2 − y1)^2].
Here (−3,1) and (−1,1) have the same y, so the distance is just the horizontal difference:
distance = |−1 − (−3)| = |2| = 2.
What you computed, |−3| + |−1| = 3 + 1 = 4, is the sum of their distances from 0 along the x‑axis, not the distance between the two points.
The distance formula between (x1,y1) and (x2,y2) is
distance = sqrt[(x2 − x1)^2 + (y2 − y1)^2].
Here (−3,1) and (−1,1) have the same y, so the distance is just the horizontal difference:
distance = |−1 − (−3)| = |2| = 2.
What you computed, |−3| + |−1| = 3 + 1 = 4, is the sum of their distances from 0 along the x‑axis, not the distance between the two points.
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