What is the equation of the line between (73,123)(73,123) and (9,23)(9,23)?

1 Answer
Binayaka C.
Apr 10, 2016

The equation of the line is 16y-25x=14316y−25x=143

Explanation:

The equation of line passing through (73,123)(73,123) is y-123=m(x-73)y−123=m(x−73) where m is the slope; now m=(123-23)/(73-9)=100/64=25/16m=123−2373−9=10064=2516Hence the equation of the line is y-123=25/16(x-73)or 16y-1968=25x-1825 or 16y-25x=143y−123=2516(x−73)or16y−1968=25x−1825or16y−25x=143[Ans]

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