Question

A line passes through (3, –2) and (6, 2).

Answer 1

A. Slope of the line = (-2 - 2) / (3 - 6)  = -4 / -3 = 4/3

the equation  required is  y - 2 = 4/3(x - 6)

b.  convert this to standard form:-

y - 2 = 4/3(x - 6)    Multiply through by 3:-
3y - 6  =  4(x - 6)
3y - 6 = 4x - 24

4x - 3y = 18  is the answer