SOLUTION: Rewrite the equation 4x – 10y = 11 as a function of x.

Algebra ->  Equations -> SOLUTION: Rewrite the equation 4x – 10y = 11 as a function of x.      Log On


   

Question 85719: Rewrite the equation 4x – 10y = 11 as a function of x.
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)


4x-10y=11 Start with the given equation


4x-10y-4x=11-4x Subtract 4x from both sides


-10y=-4x%2B11 Simplify


%28-10y%29%2F%28-10%29=%28-4x%2B11%29%2F%28-10%29 Divide both sides by -10 to isolate y


y+=+%28-4x%29%2F%28-10%29%2B%2811%29%2F%28-10%29 Break up the fraction on the right hand side


y+=+%282%2F5%29x-11%2F10 Reduce and simplify


The original equation 4x-10y=11 (standard form) is equivalent to y+=+%282%2F5%29x-11%2F10 (slope-intercept form)


The equation y+=+%282%2F5%29x-11%2F10 is in the form y=mx%2Bb where m=2%2F5 is the slope and b=-11%2F10 is the y intercept.