help geomtry
Can we work through it step by step how you got midpint 7 please?
Do you know the formula to obtain the middlepoint?
uh no.
Well, it's easy, I write you, \[PB_m=\frac{P+B}{2}\]
ok got that
You can also make it graphically. In a straight line divide in parts from -2 to 12. You'll see that the midpoint is in 5.
John_ES is the formula the same when both points are positive?
Can you like do it step by step?
Yes, the formula is the same no matter what sign the points have. In this case, \[P=-2,\ \ B=12\Rightarrow PB_m=\frac{12-2}{2}=10/2=5\]
Also, graphically, -2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12 You'll see that the point that is in the middle is 5 (from -2 to 5 there are 7 steps, from 5 to 12 there are also 7 steps).
so 5 is my answer?
Yes, because is the number that is in the middle.
can u help me with 2 more please?
Ok, let's go.
You should apply the same formula, but in this case you want one of the points. \[(-1,0)=\frac{(x,y)+(5,2)}{2}\]Could you finish form this point?
well im little confused.
can u walk me thru it?
You need the point of one endpoint, we named (x,y). Using the equation I wrote before, you'll have, \[(-1,0)\ \text{the middlepoint}\]\[(x,y)\ \text{our wanted endpoint}\]\[(5,2)\ \text{our given endpoint}\] Then we apply the formula, \[\frac{(x,y)+(5,2)}{2}=(-1,0)\Rightarrow {(x,y)+(5,2)}=(-2,0)\Rightarrow\\\Rightarrow(x,y)=(-2,0)-(5,2)=(-7,-2)\]
is (-7,-2 the answer?
????
Sorry, I went out. Yes this is the answer ;).
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