Answer:
Step-by-step explanation:
The line RS has a vertical line running through S. The line has the equation of x = - 1
The line running through R (the origin) has a slope to be determined by the points TS
T=6,0
S=-1,4
m = (y2 - y1) / (x2 - x1)
m = (4 - 0)/(-1 - 6)
m = 4/-7
The line you want going through 0,0 has a slope of m1 * m2 = -1 where m1 = -4/7
-4/7 * m2 = - 1
m2 = -1/(-4/7) = 7/4
Since the line goes through 0,0 the equation is y = 7/4 x
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The orthocenter must be on a y value determined by x = - 1
The orthocenter is (-1,-7/4)
y = 4/7
The orthocenter is (-1,4/7)
