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J is the midpoint of The coordinates of J are (8,7) and the coordinates of K are (3,4) find the coordinates of L. can someone help me? i get really confused with geometry and im trying to finish this final and im not sure how to solve this problem
 2 years ago
 2 years ago
J is the midpoint of The coordinates of J are (8,7) and the coordinates of K are (3,4) find the coordinates of L. can someone help me? i get really confused with geometry and im trying to finish this final and im not sure how to solve this problem
 2 years ago
 2 years ago

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acrossBest ResponseYou've already chosen the best response.2
I think your description is incomplete, but I get the idea. Okay, let's look at it this way: dw:1324417543699:dw
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
J is supposed to be the midpoint of the line LK, and we know both its coordinates and the coordinates of point K.
 2 years ago

davianBest ResponseYou've already chosen the best response.1
oh sorry yea its suppose to be J is the midpoint of KL
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
A good way to tackle this would be to find the equation of the line formed by the points J and K, that is, find the equation of the line JK. Do you know how to do that?
 2 years ago

davianBest ResponseYou've already chosen the best response.1
so i wud just use the points to find L?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
That's right; given\[J:(8,7),\]\[K:(3,4),\]can you find the equation of the line?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
Remember the pointslope formula\[y=m(xx_1)+y_1,\]where\[m=\frac{y_2y_1}{x_2x_1}.\]
 2 years ago

davianBest ResponseYou've already chosen the best response.1
you can yea, but im not sure what formula to use
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
First find m, and then find the equation. :) Tell me what you get.
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
That's correct;\[m=\frac{3}{11}.\]
 2 years ago

davianBest ResponseYou've already chosen the best response.1
so thats your cordinates right?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
That's the slope of the line we're trying to find. To find the equation of the line, we substitute these values into the pointslope equation:\[y=\frac{3}{11}(x3)+4.\]Let's simplify!
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
(We're almost done, too!)
 2 years ago

davianBest ResponseYou've already chosen the best response.1
i got 0.86 which i think is way off?..
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
For the equation of the line, I got\[y=\frac{3}{11}x+\frac{53}{11}.\]Do you agree with this?
 2 years ago

davianBest ResponseYou've already chosen the best response.1
yea im sure you did it right im just not sure what u did?...(this is why geometry confuses me)
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
I only did one thing: I found the equation of the line formed by the points J and K.
 2 years ago

davianBest ResponseYou've already chosen the best response.1
i understand that, im just not sure what steps u used, after we got 3/11 i got lost after that (sorry i dont mean to make things difficult)
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
hey, no probs :) right after we found m=3/11, i plugged all the values we know into the pointslope equation\[y=m(xx_1)+y_1.\]we know that \(m=3/11\), \(x_1=3\) and \(y_1=4\). After plugging those values into the equation, we get\[y=\frac{3}{11}(x3)+4.\]Then I simplified that! :)
 2 years ago

davianBest ResponseYou've already chosen the best response.1
o i got that equation but when i simplified it i got 0.86 for some reason
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
After distributing, you should get a term having an x in it:dw:1324419228233:dw
 2 years ago

davianBest ResponseYou've already chosen the best response.1
oh i changed 3/11 to a fraction thats why i got confused i think
 2 years ago

davianBest ResponseYou've already chosen the best response.1
i mean a decimal not a fraction
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
you simplify it more, and you get\[y=\frac{3}{11}x+\frac{53}{11}\] :)
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
The final step is at hand! Are you ready for it?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
Now, we know that the xdistance from point J to point K is 11, right? J:(8*,7) K:(3*,4) 8+3=11
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
If we go 11 units to the left of 8, what do we get?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
Yes! Finally, plug 19 into the equation we obtained above, and you'll get the ycoordinate of point L! :)
 2 years ago

davianBest ResponseYou've already chosen the best response.1
y=m(x−x1)+y1, that formula?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
This one\[y=\frac{3}{11}x+\frac{53}{11}.\]:)
 2 years ago

davianBest ResponseYou've already chosen the best response.1
i got 4/11 ? is that right?
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
\[\frac{3}{11}\cdot(19)+\frac{53}{11}=\frac{57}{11}+\frac{53}{11}=\frac{110}{11}=10\]
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
Yeah, the signs can become a pain at times. ^^
 2 years ago

davianBest ResponseYou've already chosen the best response.1
haha yeah thank you for your help
 2 years ago

acrossBest ResponseYou've already chosen the best response.2
Anyway, there's your answer! The coordinates of point L are (19,10). I know the process may feel a bit lengthy *looks up*, but it's really not when you give it a second look. :)
 2 years ago

davianBest ResponseYou've already chosen the best response.1
thank you soo much for walking through it and helping me i really appreciate it
 2 years ago
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