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Perpendicular lines homework

User Meryem
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We\text{ have to find the slope of the lines, if the product of the slopes is -1, then they are perpendicular!}
\begin{gathered} m_(AC)=(7-1)/(5-(-2)) \\ m_(AC)=(6)/(7) \\ \\ \\ m_(BC)=(4-(-3))/(-3-3) \\ m_(BC)=(7)/(-6)=-(7)/(6) \end{gathered}
\begin{gathered} m_(AC)\cdot m_(BD)=(6)/(7)*(-(7)/(6)) \\ =-1 \\ \\ \text{ Thus the lines are perpendicular} \end{gathered}

User Sudharsan S
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