Question

Put the steps in order to find the distance between these 2 points.

(7 points)
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Step 7







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Answer 1

1. Label the two points as (x1, y1) and (x2, y2).
2. (Optional) Sketch or imagine the points and draw the horizontal and vertical legs of the right triangle between them.
3. Compute the horizontal distance (run): |x2 − x1|.
4. Compute the vertical distance (rise): |y2 − y1|.
5. Use the Pythagorean theorem: d^2 = (run)^2 + (rise)^2.
6. Take the square root: d = sqrt[(x2 − x1)^2 + (y2 − y1)^2].
7. Simplify the radical or calculate the decimal value for the distance.