Write an equation parallel to x - 3y = 9 that passes through the point (3.-1).

Use the point-slope formula.

y - y_1 = m(x - x_1)     x_1 = 3 and y_1 = - 1

m is the slope to  x - 3y = 9 because (lines are  parallel )

calculate : m   by equation   x - 3y = 9 :

x = 3y +9

divid by : 3      1/3 x = y + 3

y =  (1/3) x - 3      so : m = 1/3

an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 ) is :

y +1 = (1/3)(x - 3) and this would be the answer

Explanation: