Question

for the line segment whose endpoints 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

Answer 1

@hero

Answer 2

same as before http://openstudy.com/updates/539f5d85e4b0eb8de56e97e0

Answer 3

would the ratio be 3:4 ?

Answer 4

the line is again, split in 4 equal pieces
say to point P then

from RP 3/4 and 1/4 for PS

Answer 5

so you'd do it the same way as the previous one

Answer 6

just change the points values and the ratio now is not 1:3 BUT D 3:1 because is from R to S

Answer 7

ooo ok that makes sense

Answer 8

ok so i got (2.25, 3.25).. i dont think it is right @jdoe0001

Answer 9

one sec

Answer 10

\(\bf R(1,2)\qquad S(6,7)\qquad ratio1=3\qquad ratio2=1\qquad 3:1\\ \quad \\ \quad \\

\cfrac{RP}{SP}=\cfrac{ratio1}{ratio2}\implies ratio2\cdot RP=ratio1\cdot SP\quad \textit{dividing by P}\\ \quad \\
ratio2\cdot R=ratio1\cdot S\implies 1(1,2)=3(6,7)\\ \quad \\\qquad
{\color{blue}{ P=\left(\cfrac{\textit{sum of "x" values}}{ratio1+ratio2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{ratio1+ratio2}\right)}}\\ \quad \\

\qquad thus\qquad \\ \quad \\
P=\left(\cfrac{(1\cdot 1)+(3\cdot 6)}{3+1}\quad ,\quad \cfrac{(1\cdot 2)+(3\cdot 7)}{3+1}\right)\)

Answer 11

recalculate your y-coordinate, see what you get

Answer 12

5.75!! thank you!

Answer 13

yw