SOLUTION: 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.

Algebra ->  Length-and-distance -> SOLUTION: 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.      Log On


   

Question 890350: 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 by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Line RS is y-2=m%28x-1%29,
y-2=%28%287-2%29%2F%286-1%29%29%28x-1%29
y-2=%285%2F5%29%28x-1%29
y-2=x-1
y=x-1%2B2
y=x%2B1 which contains all general points, (x,x+1).

Which points are on that line AND 3%2F4 of the distance from R to S?
---Use of Distance Formula
%283%2F4%29sqrt%2825%2B25%29=sqrt%28%28x-1%29%5E2%2B%28x-1%29%5E2%29
%283%2F4%29sqrt%282%2A25%29=sqrt%282%28x-1%29%5E2%29
5%283%2F4%29sqrt%282%29=%28x-1%29sqrt%282%29, which may be a oversimplification;
Divide both sides by sqrt%282%29.
%285%2A3%29%2F4=x-1
x=15%2F4%2B4%2F4
x=19%2F4----Seems to be the value needed.

Corresponding value for y:
y=19%2F4%2B1, just using the equation of line RS
y=19%2F4%2B4%2F4
highlight%28y=23%2F4%29----ANSWER