Given Triangle $DEF$ with vertices $$D(-2,6),E(7,3), \text{ and } F (2,-3)$$ find:
a) the equation of the altitude from vertex $E$ in standard form (include y=mx+b)
b) Find where this altitude in a) intersects side $DF.$
2026-05-05 12:10:23.1777983023
Slope and euclidean geometry (grade 10)
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1
i will give you some hints.
(a) can you find the slope of $DF?$
(b) let $P$ be the foot of the perpendicular from $E$ to $DF.$ what is the relation between the slopes of $EP$ and $DF?$
(c) you know the slope of $EP$ and the point $E=(7,3).$ can you write the equation of $EP?$
(d) can you also write the equation of the $DF?$
(e) can you solve the two simultaneous equations in $(c)$ and $(d)?$