Question

A segment with endpoints F (4, 9) and G (7, 2) is divided by a point H such that FH and GH form a 1:3 ratio. Find the y value for H.

a)6.75

b)7.25

c)8.25

d)5.75

Answer 1

well, since 1:3 is 4 parts, divide the distance of the ys by 4 and add it to Fy

Answer 2

or subtract 3 of them from Gy ... but that just seems like more work to me

Answer 3

another idea, find the midpoint of the midpoint ....

Fy+(Fy+Gy)/2
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2

Answer 4

well, my first idea would have to subtract from Fy since its larger the Gy but it works with that adjustment :)