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Solution :

Slope of line joining the points `(2,-6)` and `(-4,-8)` is <br> `m_(1)=(-8-(-6))/(-4-2)=(-2)/(-6)=(1)/(3)` <br> Slope of line joining the points `(4,-2)` and `(6,-8)` is <br> `m_(2)=(-8-(-2))/(6-4)=(-6)/(2)=-3` <br> Now `m_(1)*m_(2)=(1)/(3)(-3)=-1` <br> Therefore, given two lines are perpendicular to each other.