document.write( "Question 39570: Graph the following \r
\n" ); document.write( "\n" ); document.write( "3x - 4y is less than or equal to 12\r
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Algebra.Com's Answer #25022 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3x+-+4y+%3C=+12\"$
\n" ); document.write( " $\"-4y+%3C=+-3x+%2B+12\"$
\n" ); document.write( " $\"y+%3E=+%283%2F4%29x+-+3\"$
\n" ); document.write( "Since $\"y\"$ is equal to the values, the line is solid. Since the $\"y\"$ is greater than the values, you would shade above the line.
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Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation $\"3+x+%2B+-4+y+=+12\"$ describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is $\"-a%2Fb+=+-3%2F-4\"$ .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/3 = 4.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/-4 = -3.
Slope is -3/-4 = 0.75.
Equation in slope-intercept form: y=0.75*x+-3.

$\"graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+-3-8%2C+-3%2B8%2C+0.75%2Ax%2B-3+%29+\"$ \n" ); document.write( "

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