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.
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 ***