SOLUTION: Rewrite the equation as a function of x. -3x + 4y = 11

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Question 70356: Rewrite the equation as a function of x.
-3x + 4y = 11

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given -3x+%2B+4y+=+11
.
To rewrite this as a function of x, you need to do two things ... first solve for y and then
replace y by f(x).
.
First solve for y. You need to move the -3x to the other side of the equation. You can
do that by adding 3x to both sides. On the left side the +3x cancels the -3x, and on the
right side the +3x appears. You now have:
.
%2B4y+=+%2B3x+%2B+11
.
You can now solve for just +y by dividing both sides by the coefficient (or multiplier)
of y. In this case the coefficient of y is +4, so divide both sides of the equation
by +4. The result is:
.
4y%2F4+=+3x%2F4+%2B+11%2F4
.
This simplifies to:
.
y+=+%283%2F4%29%2Ax+%2B+%2811%2F4%29
.
As the final step you replace y by f(x) to end up with:
.
f%28x%29+=+%283%2F4%29%2Ax+%2B+%2811%2F4%29
.
and this has re-written the original equation (that was in standard form) into the form
of a function of x (denoted by f(x))
.
Hope this helps you to see how to do problems of this sort. Just follow the two-step
process ... first solve in for y in terms of x and then replace y by the notation f(x).