document.write( "Question 148193: Graph and Solve:\r
\n" ); document.write( "\n" ); document.write( "equation: 5x+3y=30\r
\n" ); document.write( "\n" ); document.write( "3 points:\r
\n" ); document.write( "\n" ); document.write( "slope:\r
\n" ); document.write( "\n" ); document.write( "x intercept:\r
\n" ); document.write( "\n" ); document.write( "y intercept: \n" ); document.write( "
Algebra.Com's Answer #108585 by mangopeeler07(462)\"\" \"About 
You can put this solution on YOUR website!
equation: 5x+3y=30
\n" ); document.write( "slope intercept form: y=-5/3x+10\r
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\n" ); document.write( "\n" ); document.write( "y=mx+b, where mx=slope and b=y-intercept.\r
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\n" ); document.write( "\n" ); document.write( "slope: -5/3x \r
\n" ); document.write( "\n" ); document.write( "y intercept: 10\r
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\n" ); document.write( "\n" ); document.write( "To find x-intercept, plug in zero for y.\r
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\n" ); document.write( "\n" ); document.write( "y=-5/3x+10
\n" ); document.write( "0=-5/3x+10\r
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\n" ); document.write( "\n" ); document.write( "Solve for x and get 6.\r
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\n" ); document.write( "\n" ); document.write( "x-intercept=6\r
\n" ); document.write( "\n" ); document.write( "Three points: you already have two of the intercepts, you just need to find a third point.\r
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\n" ); document.write( "\n" ); document.write( "plug in random value for x or y in the standard form or the y=mx+b form. How about x=2? 5(2)+3y=30 10+3y=30 3y=20 y=20/3.\r
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\n" ); document.write( "\n" ); document.write( "Three points: (0,10) (6,0) (2, 20/3)\r
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\n" ); document.write( "\n" ); document.write( "equation: 5x+3y=30\r
\n" ); document.write( "\n" ); document.write( "3 points: (0,10) (6,0) (2, 20/3)\r
\n" ); document.write( "\n" ); document.write( "slope: -5/3x\r
\n" ); document.write( "\n" ); document.write( "x intercept: 6\r
\n" ); document.write( "\n" ); document.write( "y intercept: 10\r
\n" ); document.write( "\n" ); document.write( "Graph: \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation \"5+x+%2B+3+y+=+30\" describes a sloping line. For any
\n" ); document.write( " equation ax+by+c = 0, slope is \"-a%2Fb+=+-5%2F3\".
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 30/5 = 6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/3 = 10.
  • Slope is -5/3 = -1.66666666666667.
  • Equation in slope-intercept form: y=-1.66666666666667*x+10.
\"graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+10-8%2C+10%2B8%2C+-1.66666666666667%2Ax%2B10+%29+\"\n" ); document.write( "
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