Answer:
y = -2x - 3
Explanation:
The altitude will be a line perpendicular the the opposite side DE.
The slope of DE = (3 - -1) / (3 - -5)
= 4/8 = 1/2
So the slope of the altitude = -1 / 1/2 = -2
Thus the equation of the altitude through F (1, -5) can be found using the point-slope form y - y1 = m(x - x1):-
y - -5 = -2(x - 1)
y + 5 = -2x + 2
y = -2x + 2 - 5
y = -2x - 3 (answer)