For the line segment whose endpoints are r(1, 2) and s(6, 7), find the y value for the point located 3 over 4 the distance from r to s. (6 points)

The y value for the point located 3 over 4 the distance from R to S is 23/4=5.75

Step-by-step explanation:

Initial point: R=(1,2)=(xr,yr)→xr=1, yr=2

Final point: S=(6,7)=(xs,ys)→xs=6. ys=7

Point: P=(x,y), y=?

RP=(3/4)RS

Then PS=(1/4)RS

And the ratio:

r=RP/PS

r=(3/4)RS / [(1/4)RS]

r=(3/4) / (1/4)

r=(3/4)*(4/1)

r=(3*4)/(4*1)

r=12/4

r=3

Then:

y=(yr+r ys)/(1+r)

y=[2+3(7)](1+3)

y=(2+21)/4

y=23/4

y=5.75

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