solve for x and y.
Hello everyone! I can't believe I actually found a forum for math! Mathletes unite, Well it's my last class to finish up my degree and I can't believe I waited till last minute to take it! now its beating me up!
I have a few questions, but will post one at a time in this thread so I can work them out to to understand them, thank you. The first one is
**Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the 2 equations for x and y.)
Midpoint (27,1), endpoint (19,-1)
thank you so much its due before midnight!!
MHF is a community where you get FREE help. We will not take money from you to help you.
I will work them out step by step and hopefully then, it will make sense.
You were asked to find the coordinate , given the midpoint and one endpoint.
We came up with the formula
We then compare the coordinates. We have an equation for x and y.
Multiply both sides by 2:
Subtract 19 from both sides to solve for x:
Multiply both sides by 2:
Add 1 to both sides to solve for y:
Does this make sense?
--Chris
Note that
To find what x and y are, we need to substitute into ...but how? We need to solve for either or .
I'll solve for 5y:
Substitute this into the other equation:
Now expand and simplify.
.
Now find y:
The correct paired solutions would be and .
Does this make sense?
--Chris