In a coordinate plane, the midpoint of AB is (2,5) and A is located at (-5,10). If (x,y) are the coordinates of B, find x and y.
Remember that
the formula to calculate the midpoint between two points is equal to
[tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]In this problem we have
M=(2,5)
(x1,y1)=A(-5,10)
(x2,y2)=B(x,y)
substitute the given values
[tex](2,5)=(\frac{-5+x}{2},\frac{10+y}{2})[/tex]step 1
Find the x-coordinate of B
equate the x-coordinates
so
2=(-5+x)/2
solve for x
4=-5+x
x=4+5=9
step 2
Find the y-coordinate of B
equate the y-coordinates
5=(10+y)/2
solve for y
10=y+10
y=0
therefore
