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The midpoint of AB is M(7,-7). If the coordinates of A are (8,-6), whatare the coordinates of B?

 Aug 31, 2020
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The midpoint of AB is M(7,-7). If the coordinates of A are (8,-6), whatare the coordinates of B?

 

Hello Guest!

 

\(m=\frac{y_A-y_M}{x_A-x_M}=\frac{-6+7}{8-7}=1\)

\(m=1\)

\({\color{blue}y=m(x-x_M)+y_M}=1(x-7)-7\)  (Point-direction equation)

\(x_A-x_M=8-7=1\)

\(x_A-x_M=1\)

\(x_B=x_M-(x_A-x_M)=7-1=6\)

\(x_B=6\)

\(f(6)=6-14=-8\)

\(y_B=-8\)

 

The coordinates of B are (6, -8)

laugh  !

 Aug 31, 2020
edited by asinus  Aug 31, 2020
edited by asinus  Aug 31, 2020

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