from the question
x₁ = x-coordinate = 8
y₁ = y-coordinate = - 4
m = slope of line = 2/3
slope form of the line is given as
(y - y₁ ) = m (x - x₁)
inserting the values
(y - (- 4) ) = (2/3) (x - 8)
(3) (y + 4) = (2) (x - 8)
multiplying each term inside the bracket by 3 and 2 respective on left and right side
3y + 12 = 2 x - 16
2 x - 3 y - 16 - 12 = 0
2 x - 3 y - 28 = 0
