Algebra please help!
posted by Celina .
I'm very confused with what I'm learning about right now. We are kind of talking about slopes, functions, graphs, etc. Today, my teacher taught about midpoint and distance, and did not explain very well at all. Would someone please explain to me how to find midpoint and distance? I have formulas, but I have no idea how to use them, and when I try them, I get the wrong answer.
Here's one of the questions I must answer:
Use slope to verify that your point from part a (which was line segment PQ, with P being (2, 4) and Q being (7, 2)) is on the line through P and Q, and use the distance formula to show that your point is just as far from P as it is from Q.
Thank you so much! This homework will be collected tomorrow, so I really need to be able to understand this and apply what you tell me to other problems. Thanks!

Correction to what I wrote! Please read this instead! 
Celina
Sorry, what I wrote might not have made sense. Here's a rewritten version.
I'm very confused with what I'm learning about right now. We are kind of talking about slopes, functions, graphs, etc. Today, my teacher taught about midpoint and distance, and did not explain very well at all. Would someone please explain to me how to find midpoint and distance? I have formulas, but I have no idea how to use them, and when I try them, I get the wrong answer.
Here's one of the questions I must answer:
Use slope to verify that your midpoint from part a (which was the midpoint of line segment PQ, with P being (2, 4) and Q being (7, 2)) is on the line through P and Q, and use the distance formula to show that your midpoint is just as far from P as it is from Q.
Thank you so much! This homework will be collected tomorrow, so I really need to be able to understand this and apply what you tell me to other problems. Thanks! 
Algebra please help! 
Anonymous
Well, first of all let's find a point halfway between P and Q.
That point will have an x value halfway between 2 and 7
That is (27)/2 = 5/2 = 2.5
The vy value of that halfway point will be halfway between 4 and 2
That is (42)/2 = 2/2 = 1
so our halfway point is
( 2.5 , 1 )
now they ask us to verify that
well what is the distance squared from
(2 , 4) to (2.5 , 1) ?
x difference = 2.5 2 = 4.5
y difference = 1  4 = 3
square of hypotenuse = 4.5^2+3^2 = 29.25
Now do the same thing from
(2.5 , 1) to (7 , 2)
x difference = 7 + 2.5 = 4.5
y difference = 2 1 = 3
square of hypotenuse = same
done 
Algebra please help! 
Celina
I kind of get what you're saying... but what is a hypotenuse?
Thanks for the help! 
Algebra please help! 
Ms. Sue
http://www.mathwarehouse.com/geometry/triangles/righttriangle.html

Algebra please help! 
Celina
Thank you!

Algebra please help! 
Damon
To make sure you have the correct numerical answers, take the square root of 29.25 for your actual half distance.
Respond to this Question
Similar Questions

Calculus: drwls, please
First, I appreciate your help, and this is very kind of all of you to help us. Now, this problem we are both sick of: we are to use transformations of f(x)= 1/x or f(x)=1/x^2 to graph the rational function: f(x)= 1/x 4. I tried using … 
AlgebraHelp needed!
Does anyone at least slightly understand direct and inverse variation? 
drama
“The best in this kind are but shadows” is A. Titania talking about men. B. Theseus talking about plays. C. Demetrius talking about the women has loved in the past. D. Bottom talking about his fellow craftsmen. 
Algebra
Right now we are learning about functions, relations, etc. and I am kind of confused. Here is what I have to answer: Determine whether each of the following is a function. Identify any relations that are not functions. Domain A set … 
Math (Algebra 1)
ok, we are learning about simplifying radical equations and I am really confused about. Please help me. This is one of the problems in my book: Sorry but my computer does not have the root sign root sign and then under it 4n^3 (to … 
social studies
i am talking about slaves and i don't understand what this sheet is talking about it is made like a moutain 1..is talking about exposition 2.Is talking about rising action 3. Is talking about climax its at the top of the moutain then … 
Literature
The best in this kind are but shadows" is A. Titania talking about men. B. Theseus talking about plays. C. Demetrius talking about the women he has loved in the past. D. Bottom talking about his fellow craftsmen. 
LA  1 question
Which of the following methods of organization would be best suited for a causeandeffect essay about the events leading up to the American Revolution? 
English/Poetry
Hi! So, I'm learning about Iambic Pentameter in class and i'm very confused. I'm supposed to pick a song and figure out the pentameter. However, I'm not sure if the song I chose, American Pie by Don Mclean, even has one. Like when … 
Algebra 2
Solve the system by substitution. xyz=8 4x+4y+5z=7 2x+2z=4 I am very confused about this. Can someone please explain how to do this?