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Q. 56

Expert-verifiedFound in: Page 15

Book edition
6th

Author(s)
Sullivan

Pages
1200 pages

ISBN
9780321795465

Find the midpoint of the line segment joining the points P_{1} and P_{2} .

${P}_{1}=(-2,0);{P}_{2}=(2,4)$

The midpoint of line segment is $\left(0,2\right)$.

Find the midpoint of the line segment joining the points P_{1} and P_{2} .

${P}_{1}=(-2,0);{P}_{2}=(2,4)$

The midpoint $M=(x,y)$ of the line segment from ${P}_{1}=\left({x}_{1},{y}_{1}\right)\mathrm{to}{P}_{2}=\left({x}_{2},{y}_{2}\right)$ is

$M=(x,y)=\left(\frac{{x}_{1}+{x}_{2}}{2},\frac{{y}_{2}+{y}_{1}}{2}\right)$

The coordinates (x, y) of the midpoint M are

$x=\frac{{x}_{1}+{x}_{2}}{2}=\frac{-2+2}{2}=0\mathrm{and}y=\frac{{y}_{1}+{y}_{2}}{2}=\frac{0+4}{2}=2$

So, Midpoint $M=(x,y)=(0,2)$

The midpoint of the line segment is $(0,2)$.

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