(x−1) ‌3y−9=4x−4 ‌4x−3y=−5....(i) Slope of AC=‌
3+1
1−5
=−1 Slope of BE=1  [BE⟂AC] Equation of line BE is ‌y−5=1(x+3) ‌y−x+3+5 y=x+8 ....(ii) Substitute value of y from Eq. (ii) to Eq. (i), 4x−3(x+8)‌=−5 4x−3x−24‌=−5 x‌=19 y‌=27 ∴ The coordinate of orthocentre is (19,27).