Question

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.

Answer 1

Answer: The answer is C) 5.25

Answer 2

By definition, the formula for the y coordinate is given by:

`y (y1 + ry2)/(1 + r)`
Where,
r: is the ratio that divides the RS line segment
y1: y coordinate of point R.
y2: y coordinate of point S.
Substituting values we have:

`(2 + ((3)/(4))7)/(1 + (3)/(4))`
Rewriting we have:

`(2 + (21)/(4))/((7)/(4))`

`((29)/(4))/((7)/(4))`

`(29)/(7)`
Answer:
the y value for the point located 3 over 4 the distance from R to S is:

`(29)/(7)`