leslie096
Indicate the equation of the given line in standard form.
The line with slope and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).
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Zale101
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For the midpoint, we have to us this formula ((x1+x2)/2,(y1+y2)/2)
doulikepiecauseidont
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Was the slope given? It loks like you forgot to add it or no?
leslie096
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-4,6
leslie096
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Wait where did you get 9 from? zale101
Zale101
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oh i'm sorry lol
Zale101
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So here we have ((2+(-6))/2,(-3+5)/2) =
leslie096
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its ok i messed up too. it's 2, 3/2 or 7/2?
Zale101
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((2+(-6))/2= -2
(-3+5)/2= 1
leslie096
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oh ok. what's next?
Zale101
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the slope is (change in y)/(change in x)
Zale101
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or (y2-y1)/(x2-x1)
Zale101
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So (5+(-3))/(-6+2) = ?
leslie096
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averages?
Zale101
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Do you know how to plug in the numbers into the formula's, like what i did here for example (5+(-3))/(-6+2) = ?
Zale101
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solve this for me (5+(-3))/(-6+2) = ?
leslie096
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sooo -3-5/2+6 = -8/8?
Zale101
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which equals -1
leslie096
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so then after that i just do y-y1= -1(x1-x. which is y+3=-1(x-5)?
Zale101
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1 and -2 are the midpoints
leslie096
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so (y-1)=-1(x=2)?
Zale101
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this means the midpoint is (-2,1)
Zale101
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x=-2
y=1
leslie096
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so then what comes after finding the midpoint
Zale101
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|dw:1371860805417:dw|
Zale101
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You are trying to find the midpoint of the endpoint points (2, -3) and (-6, 5).
leslie096
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omg i forgot to put what the slope... I'm sorry lol
slope=9/7
Zale101
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|dw:1371861044750:dw|
Zale101
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That's fine, but u need to keep in mind what's endpoint and what's midpoint
Zale101
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midpoint means middle point
endpoints means end of the line points
leslie096
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i know what midpoints and endpoints are.
Zale101
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Ok :)
Zale101
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just making it clear for u
leslie096
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ok. but what comes after we find the midpoint?
Zale101
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Use this formula to find the the point-slope form of a line
y - y1 = m(x - x1)
Zale101
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so we should plug in the numbers y - 1 = (9/7)(x - -2)
Zale101
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then simplify
anonymous
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"The line with slope SOMETHING MISSING HERE and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5)."
leslie096
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Ohhhh! so its 9x-7y=-24
Zale101
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@satellite73, i actually read the question wrong lol
from where did u get 24?
7y - 7 = 9x + 18
7y = 9x + 25
9x - 7y = -25
Zale101
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Hope i helped, sorry for taking your time
leslie096
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its ok. thanks for the help! :)
Zale101
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no problem :)