How to write -3x + 4y = 11 as a function of x
add 3x to each side, then divide by four.
y= 3/4 x + 11/4 (Remember this is an "and" statement) or in function notation,
y(x)= 3/4 x + 11/4
To write the equation -3x + 4y = 11 as a function of x, we need to isolate y on one side of the equation. Let's go through the steps:
Step 1: Add 3x to each side of the equation:
-3x + 3x + 4y = 3x + 11
4y = 3x + 11
Step 2: Divide each side by 4 to isolate y:
4y/4 = (3x + 11)/4
y = (3/4)x + 11/4
So, the equation -3x + 4y = 11 can be written as a function of x as:
y(x) = (3/4)x + 11/4