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Fri 11 Dec, 2020 11:11 pm
The graph can be used for reference, but determine the answer using algebra and equations. Show all work.
Equation of the Altitude
Points: D(−5,−3), E(7,1), and F(−3,7) are the vertices of a triangle. Determine the equation of the altitude of the triangle from D to side FE. State the equation in standard form.
@John walker 123,
You already have point D, which is (-5,-3).
An altitude is perpendicular to the side it is drawn to. Perpendicular lines have an opposite reciprocal slope. The slope of FE is (7-1)/(-3-7), or -3/5.
Therefore, the slope of the altitude would be 5/3. We can use point-slope form to find the equation.
y+3=5/3(x+5)
y=5/3x+16/3
3y-5x=16
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