document.write( "Question 408100: determine if (-2/3,5) is solution to -3x+2y=-4 \n" ); document.write( "
Algebra.Com's Answer #287575 by MathLover1(20849)\"\" \"About 
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if a point (-2/3,5) is solution to \"-3x%2B2y=-4\" must lie on the line\r
\n" ); document.write( "\n" ); document.write( "so, generally speaking, the \"condition\" for a point (a, b) to lie on the line \"y+=+mx+%2B+c\" is: \r
\n" ); document.write( "\n" ); document.write( " \"b+=+ma+%2B+c\"\r
\n" ); document.write( "\n" ); document.write( "To determine whether a point lie on the line you have to just check whether the coordinates of the point given \"satisfy\" the equation or \"not\". For this what you have to do is : Put the value of the \"x\" any \"y\" coordinates of the point and check whether it satisfy the equation \"-3x%2B2y=-4\" or not. \r
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\n" ); document.write( "\n" ); document.write( "\"-3x%2B2y=-4\"........plug in \"x=-2%2F3\" and \"y=5\"...if you get left side of equation equal to \"-4\", then (-2/3,5) is solution to \"-3x%2B2y=-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"-3%28-2%2F3%29%2B2%2A5=-4\"\r
\n" ); document.write( "\n" ); document.write( "\"-cross%283%29%28-2%2Fcross%283%29%29%2B10=-4\"\r
\n" ); document.write( "\n" ); document.write( "\"-%28-2%29%2B10=-4\"\r
\n" ); document.write( "\n" ); document.write( "\"2%2B10=-4\"\r
\n" ); document.write( "\n" ); document.write( "\"12=-4\"...........it's not a solution\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"-3x%2B2y=-4\"..... write it slope-intercept form\r
\n" ); document.write( "\n" ); document.write( "\"y=-%283%2F2%29x-2\"...let see if point lie on a line\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C++-%283%2F2%29x-2%29+\"\r
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\n" ); document.write( "\n" ); document.write( "now you can plot a point (-2/3,5) and see it does not lie on that line\r
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