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Find the coordinates of the midpoint of a segment having the given end pointsC. C(9,5),D(17,4) I can't figure it out.

Sagot :

AL2006
Sure you can !

-- The x-coordinate of the midpoint is the average (halfway between)
the x-coordinates of the end-points.

-- The y-coordinate of the midpoint is the average (halfway between)
the y-coordinates of the end-points.

The midpoint of the line segment between (9, 5) and (17, 4) is (13, 4.5) .

Lilith
[tex]D(17,4), \ \ \ C(9,5) \\\\Midpoint \ Formula :\\\\(x,y)=\left ( \frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} \right )\\\\x_{1}=17, \ \ \ x_{2}=9\\y_{1 }=4\ \ \ y_{2}=5 \\\\(x,y)=\left ( \frac{17+9}{2},\frac{4+5}{2} \right )\\\\(x,y)=\left ( \frac{26}{2},\frac{9}{2} \right )\\\\(x,y)=\left (13,4.5 \right )[/tex]