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Q. 57

Expert-verifiedFound in: Page 1

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} .

${P}_{1}=(-5,-3);{P}_{2}=(11,9)$

The midpoint of line segment is $\left(3,3\right)$.

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

${P}_{1}=(-5,-3);{P}_{2}=(11,9)$

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

$x=\frac{{x}_{1}+{x}_{2}}{2}=\frac{-5+11}{2}=3\mathrm{and}y=\frac{{y}_{1}+{y}_{2}}{2}=\frac{-3+9}{2}=3$

So, Midpoint $M=(x,y)=(3,3)$

The midpoint of the line segment is $(3,3)$.

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