Find the midpoint of PQ

Mathematics

1 answer:

SashulF [63]2 years ago

7 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&P&(~ -4 &,& -6~) 
% (c,d)
&Q&(~ 8 &,& 2~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{8-4}{2}~~,~~\cfrac{2-6}{2} \right)\implies (2~~,~~-2)$

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Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

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2) There's a theorem, called the Irrational Theorem Root that states:

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