Question

How do I answer this equation? -3x+y=12. I'm supposed to find the function for it bt I don't know how. Can you guys help me out please

Answer 1

`y=3x+12`

Explanation:

We have been given an equation in standard form
`-3x+y=12`. We are asked to write our given equation as a function.

We know that the function represents a relationship between input and output, where each input gives exactly single output.

To write our given equation as a function we need to convert our given equation into slope-intercept form of equation because in slope-intercept form, there is exactly one y output for each input of x.

`y=mx+b`, where,

m = Slope,

b = The y-intercept.

To convert our given equation into slope-intercept form, we need to get y on left side of our equation.

`-3x+3x+y=3x+12`

`y=3x+12`

Now our equation is in form of a function, where each value of x gives exactly one y value.

Answer 2

Typically when being asked for a function, they want it written in slope intercept form. To find that, you need to solve for y.

You can do this by adding 3x to both sides which would result in y = 3x + 12.

Also, math teachers typically want functions expressed in terms of f(x) instead of y. So, you can replace your y with that to get the final answer of f(x) = 3x + 12.