document.write( "Question 586908: How would you graph -2x+3y=6 \n" ); document.write( "

Algebra.Com's Answer #375535 by jerryguo41(197) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-2x%2B3y=6\"$
\n" ); document.write( "Change into Slope Int form:
\n" ); document.write( " $\"-2x%2B3y=6\"$
\n" ); document.write( " $\"3y=6-2x\"$
\n" ); document.write( " $\"y=2-%282%2F3%29x\"$
\n" ); document.write( " $\"y=-%282%2F3%29x%2B2\"$ \r
\n" ); document.write( "\n" ); document.write( "This should go nicely into any graphing calculator or you can view the following:
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation $\"-2+x+%2B+3+y+=+6\"$ describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is $\"-a%2Fb+=+--2%2F3\"$ .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/-2 = -3.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/3 = 2.
Slope is --2/3 = 0.666666666666667.
Equation in slope-intercept form: y=0.666666666666667*x+2.

$\"graph%28+500%2C+500%2C+-3-8%2C+-3%2B8%2C+2-8%2C+2%2B8%2C+0.666666666666667%2Ax%2B2+%29+\"$ \n" ); document.write( "

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