Mathematics: Draw the segment pq with endpoints p(-2, -1) and q(2,4) on the coordinate plane. then find the length and midpoint of pq.

Draw the segment pq with endpoints p(-2, -1) - id21828525, inucornspineapple

Ltksls4177

12.03.2022

The graph of the line segment PQ is attached. To find the length, we have to use distance formula which is

$d = \sqrt{ (x_{2} -x_{1} )^2 + (y_{2} - y_{1} )^2 }$

$PQ = \sqrt{ (2-(-2))^2 + (4- (-1))^2 } = \sqrt{ (2+2)^2 + (4+1)^2 }$

$PQ = \sqrt{16+25} = \sqrt{41}$

To find the midpoint,we have to use the formula

$( \frac{x_{1}+ x_{2} }{2} ,\frac{y_{1}+ y_{2} }{2} ) = (\frac{-2+2}{2} , \frac{-1+4}{2} )$

$= ( \frac{0}{2} , \frac{3}{2} ) = (0 , \frac{3}{2} )$

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bargasdevon123

01.01.2021

Thx. And if you actually have questions, you're going to need points to even post it :/

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