slope = m = -2/3
point = ( x1 ,y1) = (3 , -1)
equation of the line
y - y1 = m(x- x1)
y - (-1) = - 2/3 [ x - 3]
y + 1 = -2 /3 ( x - 3)
3 ( y + 1 ) = -2 ( x - 3 ) { multiply bothsides with 3 }
3(y + 1) + 2 (x - 3 ) = 0
3y + 3 + 2x - 6 = 0
2x + 3y -6 + 3 =0
2x + 3y -3 = 0 this is the required equation