Triangle ABC has vertices A(3,5), B(2,3), C(5,2)

Ineed the equations of the three altitudes

inoe wht ihav to doo but ikepp messing up for some reason

slope of ab= (3-5/2-3)= -2/1

slope of bc = ( 2-3/5-2) = -1/3

slope of ca = (5-2/3-2)= 3/1

idont now where to go from here and iget messed up with the negative recipricol

and then i need to find the intersection point of any two altitudes

can yu show me in steps for me to get good at this and easy for me\

thnxxxxx