Answer:
[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]
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:
[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]
This is our final answer.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/11735196
