How would you rewrite the equation y = 3x+1 as a function of x.
Hmmm. It is written now as a function of x.
Do you mean like this, where x is a function of y?
x= 1/3 y -1 ?
Could this be a trick question? I thought It was already a function of x?
Thanks for your help!
No, you're on the right track! The original equation, y = 3x + 1, is indeed a function of x. It represents a relationship between the variables x and y, where the value of y depends on the value of x.
To rewrite the equation as a function of x, we need to solve for y in terms of x. Let's go through the steps:
1. Start with the original equation: y = 3x + 1.
2. Since we want to isolate y on one side, subtract 1 from both sides: y - 1 = 3x.
3. Now, divide both sides by 3 to solve for y: y = 3x/3 + 1/3.
4. Simplify the equation: y = x + 1/3.
So, the rewritten equation as a function of x is y = x + 1/3. This means that for any given value of x, you can substitute it into this equation to find the corresponding value of y.