document.write( "Question 84495: This is myproblem.
\n" ); document.write( "Rewrite the equation 4x – 10y = 11 as a function of x.
\n" ); document.write( "Here is the solution I hope.
\n" ); document.write( "y = -2/5 x + 11 \n" ); document.write( "

Algebra.Com's Answer #60850 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
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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.

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