Put this equation into slope-

intercept form.

5x - 4y = 12

y = 5/4x - 3

Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

First, isolate variable y on the left side of the equation.

- 4y = - 5x + 12

Now, divide both sides by - 4 to solve for y.

y = 5/4x - 3

Step-by-step explanation: In slope-intercept or y = mx + b form, the y is by itself on the left side of the equation.

So our first task in this problem is to get

y 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 y = 5/4x - 3.