Answer:
x - 3y = -5.
Step-by-step explanation:
The slope (m) = (3-0)/(4 - (-5))
= 3/9
= 1/3.
Using the point-slope form of the equation of a straight line:
y - y1 = m(x - x1)
Using m = 1/3 , x1 = 4 and y1 = 3:
y - 3 = 1/3(x - 4)
Multiply through by 3:
3y - 9 = x - 4
In standard form that is:
x - 3y = -5