The slope-intercept form is given by:
[tex]y=mx+b[/tex]
Therefore, to find this form, we need to solve for y the given equation:
[tex]6x+4y=4[/tex]
Subtract both sides 6x:
[tex]6x-6x+4y=4-6x[/tex][tex]4y=4-6x[/tex]
Now, divide both sides by 4:
[tex]\frac{4y}{4}=\frac{4-6x}{4}[/tex]
Simplify the expression:
[tex]y=\frac{4}{4}-\frac{6x}{4}[/tex][tex]y=1-\frac{3x}{2}[/tex]
We can rewrite the equation as:
[tex]y=-\frac{3x}{2}+1[/tex]
Where -3/2 represents the slope and 1 represents the y-intercept.
