Answer:
[tex]\large\boxed{1.\ y=-\dfrac{3}{5}x+\dfrac{12}{5}}\\\boxed{2.\ y=\dfrac{5}{4}x-\dfrac{3}{2}}[/tex]
Step-by-step explanation:
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
[tex]1.\\3x+5y=12\qquad\text{subtract 3x from both sides}\\\\5y=-3x+12\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{3}{5}x+\dfrac{12}{5}}\\\\2.\\5x-4y=6\qquad\text{subtract 5x from both sides}\\\\-4y=-5x+6\qquad\text{divide both sides by (-4)}\\\\y=\dfrac{5}{4}x-\dfrac{6}{4}\\\\\boxed{y=\dfrac{5}{4}x-\dfrac{3}{2}}[/tex]
