Please let me know if this is correct: rewrite each equation as a function of x.
-3x+4y=11
I got
4y=3x+11
y=3/4x+11/4
f(x)=3/4x+11/4
Please tell me if this correct. Thanks
It is correct.
Yes, your rewrite of the equation is correct. To rewrite the equation as a function of x, you need to isolate y on one side of the equation. Here are the steps:
1. Start with the original equation: -3x + 4y = 11
2. Add 3x to both sides of the equation to move the -3x term to the other side: 4y = 3x + 11
3. Divide both sides of the equation by 4 to isolate y: y = (3/4)x + 11/4
So your rewrite of the equation as a function of x is y = (3/4)x + 11/4. This equation is in slope-intercept form (y = mx + b), where the slope is 3/4 and the y-intercept is 11/4.
Therefore, you are correct in stating that f(x) = (3/4)x + 11/4 is the rewritten equation as a function of x.