Step-by-step explanation: In slope-intercept or <em>y = mx + b</em> form, the <em>y</em> is by itself on the left side of the equation.
So our first task in this problem is to get
<em>y</em> by itself on the left side of the equation.
First subtract 5x from both sides to get -4y = -5x + 12.
I put the x term first because that's how it is in y = mx + b form.
Now divide both sides by -4 to get <em>y = 5/4x - 3</em>.