Answer:
Slope: [tex]-\frac{3}{4}[/tex]
Y-intercept: 399
Slope-intercept form: [tex]y=-\frac{3}{4}x+399[/tex]
Step-by-step explanation:
1. The equation in Standard form is given in the problem:
[tex]3y+4y=1596[/tex]
2. Then, to write the equation of the line in slope-intercept form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept, you must solve for y as you can see below:
[tex]4y=-3x+1596\\y=\frac{-3x+1596}{4}\\y=-\frac{3}{4}x+399[/tex]
3. Therefore, the slope and the y-intercept are:
[tex]m=-\frac{3}{4}\\b=399[/tex]