Please help - find the orthocenter.

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

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)

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