The formula used to find the midpoint of a segment with endpoints A(0, 0) and B(m, n) is x = m / 2 and y = n / 2.
What is the midpoint on a given line?
If on a straight line we have two endpoints:
- [tex](x_{1}~,y_{1})[/tex]
- [tex](x_{2},~ y_{2} )[/tex]
and the midpoint is given by ( x, y ).
Then to find the midpoint on a straight line we use the formula:
x = ( [tex]x_{2}[/tex] + [tex]x_{1}[/tex] ) / 2
y = ( [tex]y_{2}+y_{1}[/tex] ) / 2
We have,
[tex](x_{1}~,y_{1})[/tex] = ( 0, 0 )
[tex](x_{2},~ y_{2} )[/tex] = ( m, n )
[tex]x_{1}[/tex] = 0
[tex]x_{2}[/tex] = m
[tex]y_{1}[/tex] = 0
[tex]y_{2}[/tex] = n
We will use the formula :
x = ( [tex]x_{2}[/tex] + [tex]x_{1}[/tex] ) / 2
y = ( [tex]y_{2}+y_{1}[/tex] ) / 2
And substitute the values.
x = ( m + 0 ) / 2
y = ( n + 0 ) / 2
x = m / 2
y = n / 2.
The formula used to find the midpoint of a segment with endpoints A(0, 0) and B(m, n) is x = m / 2 and y = n / 2.
Learn more about midpoints here:
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