Question

What equations are parallel and perpendicular to y = -3x - 1 and that pass through the point (3, 1)?

Answer 1

m1=-3 ......... m2=-3 cause it is parallel
since m=y-y1/x-x1
therefore -3=y-1/x-3
therefore -3x+9=y-1......so....... y=-3x+10

m1=-3.............m2=1/3 cause it is orthogonal
since m=y-y1/x-x1
therefore 1/3=y-1/x-3
therefore 3y-3=x-1.......so.....3y=x+2