Question

Point X is located at (2, −6) and point Z is located at (0, 5). Find the y value for the point Y that is located one over five the distance from point X to point Z.

A) −3.6

B) −3.8

C) −4

D) −4.2

Answer 1

mmm I think you would find the distance between the two given points first...
\[distance formula: \sqrt{(x _{2}-x _{1})^{2} + (y _{2}-y _{1})^{2}}\]when given points (x1, y1) and (x2, y2)

Answer 2

I tried that but I couldn't find the right one

Answer 3

hmmm, what'd you get when you tried that? :)

Answer 4

2.7 idk what I did wrong

Answer 5

aww I'm getting stuck too :/

@ganeshie8 @Luigi0210 @ParthKohli could you help if you're not too busy? :3

Answer 6

mmmm
the distance between the two y values is 5 - (-6) = 11 right?
and one over five of 11 = 2.2
so from -6 + 2.2 = ? <-- that might be it?

Answer 7

@lucy27 you get it?

Answer 8

you have points (2,-6) and (0,5) and you're trying to find what is a fifth of that distance.
\[\sqrt{(x_{2}-x _{1})+(y _{2}-y _{1})}\]
\[\sqrt{(-2)+(5+6)}\]
\[\sqrt{-2+11}\]
\[\sqrt{9}\]
=3.
now what's 1/5 of 3?
1/5x3
=3/5
=0.6. this is what i got?

Answer 9

oh oops i did the wrong thing!! here i'll do the right one..

Answer 10

you know the midpoint formula right? M=(x1+x2)/(y1+y2)/2. but what if, instead of finding the centre (or the half, which is /2) we would find the FIFTH, so intead of /2 we would do /5?

Answer 11

Midpt: \[\frac{ 2+0 }{ 5 }, \frac{ -6+5 }{ 5 }\]
2/5, -1/5
0.4, -0.2<--your answer i think.prob wrong though...this is a hard question..

Answer 12

the distance between the two y values is 5 - (-6) = 11 right?
and one over five of 11 = 2.2
so from -6 + 2.2 = ? <-- that might be it?
I got -3.8 B