SOLUTION: write this in function form: 3x+4y=0

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Question 126983This question is from textbook Pre-Algebra
: write this in function form: 3x+4y=0 This question is from textbook Pre-Algebra

Found 2 solutions by MathLover1, edjones:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Write, in function form:
+3x%2B4y=0
First, you need to identify which of the two variables is the "independent" variable. Usually, x is the independent variable, so we'll first write the equation in terms of x, which means that we'll need to solve for y.
+3x%2B4y=0………. add -3x to both sides
3x+%963x%2B4y+=0+-3x
+4y+=-3x+ ………..Divide both sides by 4
4y%2F4+=-3x%2F4+
y+=-%283%2F4%29x+
Now, to write this in function+form, we replace the y with f%28x%29, which is read as f of x or function of x. When an equation is written in function form, it is easy to identify the independent variable.
That's the variable inside the parentheses of the f%28x%29 or x.
f%28x%29+=+-%283%2F4%29x+

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=y
3x+4y=0
3x-3x+4y=-3x
4y=-3x
4y/4=-3x/4
y=-3x/4=-.75x
f(x)=-.75x
.
Ed