document.write( "Question 282515: How do you solve 2y=6x+4? \n" ); document.write( "
Algebra.Com's Answer #205112 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
First, get it into slope-intercept form: y = mx + b
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\n" ); document.write( "y = value of y that depends on the value of x
\n" ); document.write( "m = slope of the line
\n" ); document.write( "b = y-intercept (the point where x=0)
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\n" ); document.write( "2y = 6x+4
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\n" ); document.write( "Divide both sides of the equation by 2.
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\n" ); document.write( "y = 3x + 2
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\n" ); document.write( "When x=0
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\n" ); document.write( "y = 3*0 + 2 = 2\r
\n" ); document.write( "\n" ); document.write( "which defines the point (0,2).
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\n" ); document.write( "The x-intercept occurs where y=0.
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\n" ); document.write( "0 = 3x + 2
\n" ); document.write( "or
\n" ); document.write( "3x +2 = 0
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\n" ); document.write( "Subtract 2 from both sides.
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\n" ); document.write( "3x = -2
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\n" ); document.write( "Divide both sides by 3.
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\n" ); document.write( "x = -2/3, which defines the point (-2/3,0).
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\n" ); document.write( "Given you have two points, you can graph a straight line.
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\n" ); document.write( "\"graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C3%2Ax%2B2%29\"
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\n" ); document.write( "That's about all you need to know about this equation.
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\n" ); document.write( "y = 3x + 2
\n" ); document.write( "The slope = 3, which means it goes up to the right.
\n" ); document.write( "The y-intercept = (0,2).
\n" ); document.write( "The x-intercept = (-2/3,0).
\n" ); document.write( "The graph is shown above.
\n" ); document.write( "You could test another value of x to make sure it is on the line, but I leave that to you.
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\n" ); document.write( "Done.
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