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

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Question 119750: rewrite the equation as a function of x
-3x+4y=11
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


-3x%2B4y=11 Start with the given equation


-3x%2B4y%2B3x=11%2B3x Add 3x to both sides


4y=3x%2B11 Simplify


%284y%29%2F%284%29=%283x%2B11%29%2F%284%29 Divide both sides by 4 to isolate y


y+=+%283x%29%2F%284%29%2B%2811%29%2F%284%29 Break up the fraction on the right hand side


y+=+%283%2F4%29x%2B11%2F4 Reduce and simplify


The original equation -3x%2B4y=11 (standard form) is equivalent to y+=+%283%2F4%29x%2B11%2F4 (slope-intercept form)


The equation y+=+%283%2F4%29x%2B11%2F4 is in the form y=mx%2Bb where m=3%2F4 is the slope and b=11%2F4 is the y intercept.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
A function+_of+_x merely means in the form x=.....
-3x%2B4y=11.....move 4y to the right
-3x+=+-+4y+%2B+11.....divide both sides by -3
x+=+%284%2F3%29y+-+11%2F3.....