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 3 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
 3 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

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

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

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

across
 3 years ago
Best ResponseYou've already chosen the best response.2A 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?

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

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

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

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

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

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

davian
 3 years ago
Best ResponseYou've already chosen the best response.1so thats your cordinates right?

across
 3 years ago
Best ResponseYou've already chosen the best response.2That'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!

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

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

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

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

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

davian
 3 years ago
Best ResponseYou've already chosen the best response.1i 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)

across
 3 years ago
Best ResponseYou've already chosen the best response.2hey, 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! :)

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

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

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

davian
 3 years ago
Best ResponseYou've already chosen the best response.1i mean a decimal not a fraction

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

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

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

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

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

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

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

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

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

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

davian
 3 years ago
Best ResponseYou've already chosen the best response.1haha yeah thank you for your help

across
 3 years ago
Best ResponseYou've already chosen the best response.2Anyway, 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. :)

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