Hello, How do I calculate the midpoint of a line if I don't know the slope?

Question

stefrheart · Answer

You dont need the slope

anonymous · Answer

$$\left( \frac{ x _{1}+x _{2} }{ 2 },\frac{  y _{1}+y _{2}  }{ 2 }\right)$$

anonymous · Answer

That's the midpoint, you'll have answer as (x,y).

anonymous · Answer

Well, I think I do because the word problem is asking about someone walking up a hill. Normal midpoint of 928 feet would be 464. But the word problem refers to walking up a hill.

stefrheart · Answer

It still applies. No slope is necessary for midpoint

anonymous · Answer

OK. This doesn't have anything to do with coordinate proof? : Joe is walking up a hill toward the top. The distance from the bottom to the top is 928 feet. How far, in feet, will he have walked when he reaches the midpoint of his walk up the hill?

anonymous · Answer

Can you draw a diagram.

anonymous · Answer

I've been trying. Joe starts at (0,0) and rises to (x, 928). I'm confused ...

paxpolaris · Answer

do we know the angle of the slope then?

anonymous · Answer

No angle of the slope. I could assume one but I'm sure that's not what the teacher is looking for.

anonymous · Answer

I'm just going to put in 464 feet, I guess. Thanks.

gorv · Answer

you just need the end points of line to find the mid point

anonymous · Answer

Yeah, which I don't get from the problem. Thanks. I just don't understand what it's getting at.

aum · Answer

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gorv · Answer

can u post the Q ??

anonymous · Answer

Here it is: Joe is walking up a hill toward the top. The distance from the bottom to the top is 928 feet. How far, in feet, will he have walked when he reaches the midpoint of his walk up the hill? Thank you.

gorv · Answer

total length is given 2 you

gorv · Answer

mid means half

anonymous · Answer

Yes: 464 feet but that feels like a strangely easy answer

aum · Answer

C will be the midpoint of the line AB no matter what the slope of the hill is.
By similar triangles you can see E will be the midpoint of AD = (x1 + x2) / 2 and 
F will be the midpoint of BD = (y1 + y2)/2

gorv · Answer

the line that will join bottom and top will be a straight line

gorv · Answer

mid point means two equal part

gorv · Answer

he ia at equal diatance from top and bottom both

anonymous · Answer

Yup. OK Thanks for supporting me. Good night.

gorv · Answer

which means he has covered the half of the total distance

aum · Answer

You are welcome.