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Gradient, midpoint and distance
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Gradient, midpoint and distance
Gradient, midpoint and distance
Example 1
Find the midpoint of (−8,4) and (−2,14).
Show worked answer
Answer: (−5,9)
- Average each coordinate: (2−8−2,24+14)=(−5,9).
Example 2
Find the gradient through (−5,3) and (1,15).
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Answer: 2
- Gradient =change in xchange in y=612=2.
Example 3
Find the distance between A(4,4) and B(20,34), in coordinate units.
Distances in coordinate unitsDiagram not to scaleShow worked answer
Answer: 34
- The horizontal and vertical changes are 16 and 30.
- Distance =√162+302=34 units.
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