Find the coordinates of orthocenter PLS SHOW WORK

Question

find the coordinates of the orthocenter of the triangle with vertices X(1,3) Y (3,9) and Z (10,2)

Answer 1

find the coordinates of the orthocenter of the triangle with vertices X(1,3) Y (3,9) and Z (10,2)

so -(1/1/9)= -9=(y-9)/(x-3) ,,, is altitude line from Y to XZ

and -(1/7/-7)=1=(y-3)/(x-1) ,,,, is altitude line from X to YZ

y=y first and second equation will solve for x,

plug in x into either equation to find y

Answer 2

Similar to orthocenter yet here it is the intersection of the altitudes.