3x+12y=-8 in slope intercept form

Step-by-step explanation:

Hi there!

We are given the equation 3x + 12y = -8 and we want to convert it into slope-intercept form

The equation is currently in standard form, which is ax+by=c, where a, b, and c are free integer coefficients

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

Notice that in standard form, the terms containing x and y are both on the same side, but in slope-intercept form, the expression is set equal to y (x is on the other side)

So first, we'll need to subtract 3x from both sides to remove it from the left side.

3x + 12y = -8

-3x            -3x

_______________

12y=-3x-8

Now divide both sides by 12, since we want to isolate y by itself (it's a bit like solving the equation for y)

12y=-3x-8

÷12   ÷12

___________

y=-3/12x -8/12

We can simplify the fractions to get:

This is our final answer.

Hope this helps!
If you would like a similar problem for practice, take a look here:

step-by-step explanation: