we are given
slope is
[tex]m=\frac{2}{3}[/tex]
y-intercept is (0,-3)
[tex]b=-3[/tex]
now, we can use slope intercept form of equation
[tex]y=mx+b[/tex]
where
m is slope
b is y-intercept
now, we can plug these values
we get
[tex]y=\frac{2}{3}x-3[/tex]
now, we have to write it in
Ax+By =C form
so, we will multiply both sides of equation by 3
[tex]3*y=3*\frac{2}{3}x-3*3[/tex]
[tex]3y=2x-9[/tex]
Subtract both sides by 2x
[tex]3y-2x=2x-9-2x[/tex]
[tex]3y-2x=-9[/tex]
[tex]-2x+3y=-9[/tex]
so,
Answer is [tex]-2x+3y=-9[/tex]
