document.write( "Question 660281: Find the equation of the line in standard form that is parallel to y=4x-2 and goes through (0,0). \n" ); document.write( "

Algebra.Com's Answer #411139 by math-vortex(648) $\"\"$ $\"About$

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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "Find the equation of the line in standard form that is parallel to y=4x-2 and goes through \r\n" );
document.write( "(0,0).\r\n" );
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document.write( "Solution:\r\n" );
document.write( "Your equation is in slope-intersept form, y = mx+b.\r\n" );
document.write( "In this form, we can see that the slope of the line is 4 and the y-intercept is -2.\r\n" );
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document.write( "We want a parallel line. Parallel lines have the same slope, so the new slope is also 4.\r\n" );
document.write( "Since the parallel goes through the origin, the y-intercept is 0. \r\n" );
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document.write( "We can write the equation in slope-intercept form. The slope m=4 and the y-intercept b=0.\r\n" );
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document.write( "Your problem asks for the equation in standard form. Standard form looks like ax+by=c \r\n" );
document.write( "where a, b, and c are constants. Let's transform our equation to standard form.\r\n" );
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document.write( "Subtract 4x from both sides of the equation.\r\n" );
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document.write( "By convention, we usually make the leading coefficient positive. Multiply every term by -1.\r\n" );
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document.write( "That's it! If this explanation is unclear, or you still have questions, you may email me.\r\n" );
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document.write( "Mrs. Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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