Answer:
[tex]y=-\frac{4}{3} x+4[/tex]
Step-by-step explanation:
Slope-intercept form is written in [tex]y=mx+b[/tex]
So, to solve, we must separate y onto one side and make its coefficient one.
[tex]4x+3y=12[/tex]
Subtract 4x on both sides.
[tex]3y=12-4x[/tex]
Divide both sides by the coefficient of [tex]y[/tex], which is 3.
[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]
Simplify.
[tex]y=4-\frac{4}{3} x[/tex]
Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]
[tex]y=-\frac{4}{3} x+4[/tex]
