document.write( "Question 623770: Indicate in standard form the equation of the line passing through the given point and having the given slope.
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Algebra.Com's Answer #392340 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( "Indicate in standard form the equation of the line passing through the given point and having \r\n" );
document.write( "the given slope: B(6, 2), m = -1/2\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "We will begin by using the point-slope form to find the equation of a line. Then we'll translate \r\n" );
document.write( "that equation into standard form.\r\n" );
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document.write( "Point-Slope Form for the Equation of a Line looks like this: \"y-y%5B1%5D=m%28x-x%5B1%5D%29\"\r\n" );
document.write( "where m is the slope and (x[1], y[1]) is a point on the line.\r\n" );
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document.write( "We have a slope m = -1/2 and point B(6,2) on the line. Substitute the known values into the \r\n" );
document.write( "equation.\r\n" );
document.write( "\"y-2=%28-1%2F2%29%28x-6%29\"\r\n" );
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document.write( "Now we rearrange this equation into Standard Form: \"ax%2Bby=c\"\r\n" );
document.write( "where a and b are the respective coefficients of x and y, and c is the constant term.\r\n" );
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document.write( "First, clear the parentheses on the right side of the equation by multiplying.\r\n" );
document.write( "\"y-2=%28-1%2F2%29x%2B3\"\r\n" );
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document.write( "Add (1/2)x to both sides of the equation.\r\n" );
document.write( "((((1/2)x+y-2=3}}}\r\n" );
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document.write( "Add 2 to both sides of the equation.\r\n" );
document.write( "\"%281%2F2%29x%2By=5\"\r\n" );
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document.write( "Multiply every term by 2 to clear the fraction. Note that (1/2) * 2 = 1.\r\n" );
document.write( "\"x%2B2y+=10\"\r\n" );
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document.write( "The equation is in standard form.\r\n" );
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document.write( "Feel free to email if you have questions about the solution.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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