SOLUTION: I have a huge test coming up. I need some clarity. how would you rewrite the equation 2x-3y = -6 as a fraction of x? Do you just solve for x? Please show me. Thank you in advance!!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I have a huge test coming up. I need some clarity. how would you rewrite the equation 2x-3y = -6 as a fraction of x? Do you just solve for x? Please show me. Thank you in advance!!      Log On


   

Question 90361: I have a huge test coming up. I need some clarity. how would you rewrite the equation 2x-3y = -6 as a fraction of x? Do you just solve for x? Please show me. Thank you in advance!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean to say "rewrite the equation as a function of x"

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)


2x-3y=-6 Start with the given equation


2x-3y-2x=-6-2x Subtract 2x from both sides


-3y=-2x-6 Simplify


%28-3y%29%2F%28-3%29=%28-2x-6%29%2F%28-3%29 Divide both sides by -3 to isolate y


y+=+%28-2x%29%2F%28-3%29%2B%28-6%29%2F%28-3%29 Break up the fraction on the right hand side


y+=+%282%2F3%29x%2B2 Reduce and simplify


The original equation 2x-3y=-6 (standard form) is equivalent to y+=+%282%2F3%29x%2B2 (slope-intercept form)


The equation y+=+%282%2F3%29x%2B2 is in the form y=mx%2Bb where m=2%2F3 is the slope and b=2 is the y intercept.