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Given the points C(-1,-5) and D(-7,-11), find the coordinates of point E on CD such that the ratio of CE to ED is 5:8.

 Feb 24, 2021
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E is between C and D  (given)

E is   5 out of (5+8=13)   or 5/13ths of the way from C to D

 

x :   from -1 to -7   is distance -6     5 /13  of this added to -1 =   5/13 * -6 + -1 = -43/13  = - 3  4/13

y :   from -5 to -11 is diastance -6   5/13 of this added to -5   =  5/13 * -6  + -5 = -95/13 =  -7  4/13      *** edited ***

 Feb 24, 2021
edited by ElectricPavlov  Feb 24, 2021

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