Given data:
The given point is (-2, -3).
the given equation x+3y=24.
The standard equation of the line is,
y=mx+c.
Compare the given equation with the above equation.
y=-x/3+8
The slope of the line perpendicuar,
(-1/3)(m)=-1
m=3
The given of the line which is perpendicuar to the given line is,
y-(-3)=3(x-(-2))
y+3=3x+6
y=3x+3
Thus, the equation of line is y=3x+3.