Question

Find R on line segment NM that is 1/4 the distance from N(-3,-3) toM(2, 3).R(x, y) =

Answer 1

The distance on the x-coordinate from N to M is:

distance = 2 - (-3) = 2 + 3 = 5

Because 2 is the x-coordinate of M and -3 is the x-coordinate of N

Then, 1/4 of the distance is:

1/4*distance = (1/4)*5 = 5/4 = 1.25

So, the x-coordinate of R is:

(x-coordinate of N) + (1/4*distance) = -3 + 1.25 = -7/4 = -1.75

At the same way, the distance on the y-coordinae from N to M is:

distance = 3 - (-3) = 3 + 3 = 6

Then, 1/4 of the distance is:

1/4*distance = (1/4)*6 = 6/4 = 1.5

So, the y-coordinate of R is:

(y-coordinate of N) + (1/4*distance) = -3 + 1.5 = -1.5

Answer: R(x, y) = (-1.75, -1.5)