For the line segment whose in points are l ( 0, 2) and m (2, 8) find the y value for the point located 3/5 the distance from l to m

  5.6

Step-by-step explanation:

The point of interest divides LM into segments of the ratio 3 : 2. The point has coordinates that are the weighted average of the coordinates of L and M with the weights being the reverse of the ratio numbers.

  (2L + 3M)/5 = (2·2 +3·8)/5 = 28/5 = 5.6 . . . . y-coordinate only

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