PointJ-2.1) and point K(45) form line segment JR. For the point P that partions JK in the ratio 3.7, what is the y-coordinate of P?

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11-03-2018
Mathematics

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PointJ-2.1) and point K(45) form line segment JR. For the point P that partions JK in the ratio 3.7, what is the y-coordinate of P?

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MsEHolt MsEHolt · Answer 1 · 2018-03-20T19:34:39+01:00

The coordinates of point P would be (2.6, 1.6).

The ratio of the sides being 3:7 means that the segment JP would be 3/10 of the total and PK would be 7/10 of the segment.

The slope of JK is given by finding the rise/run; in this case that is 4/2=2. Since JP is 3/10 of the segment, we add 3/10 of the rise to the x-coordinate and 3/10 of the run to the y-coordinate:

(3/10(2)+2, 3/10(2)+1)
=(6/10+2, 6/10+1)
=(2.6, 1.6)