Question

What is the equation written in slope intercept

Answer 1

`\large\boxed{1.\ y=-(3)/(5)x+(12)/(5)}\\\boxed{2.\ y=(5)/(4)x-(3)/(2)}`

Explanation:

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

`1.\\3x+5y=12\qquad\text{subtract 3x from both sides}\\\\5y=-3x+12\qquad\text{divide both sides by 5}\\\\\boxed{y=-(3)/(5)x+(12)/(5)}\\\\2.\\5x-4y=6\qquad\text{subtract 5x from both sides}\\\\-4y=-5x+6\qquad\text{divide both sides by (-4)}\\\\y=(5)/(4)x-(6)/(4)\\\\\boxed{y=(5)/(4)x-(3)/(2)}`