For the line segment whose end points are r(1,2) and s(6,7) find the y value for the point located 3/4 the distance from r to s. a) 4.25 b) 4.75 c) 5.25 d) 5.75

So, let's see, the point say P, is 3/4 of the way from R to S, namely, if we split the segment RS into 4 pieces, from R to P, or RP will take 3 of those quarters, and from P to S, or PS, will take one of those quarters, check the picture below.

so the RP section is at a ratio of 3, whilst the PS section is at a ratio of 1.





and that's the y-coordinate for the point P.