document.write( "Question 623496: Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3). \n" ); document.write( "
Algebra.Com's Answer #392152 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through \r\n" );
document.write( "the point (6, 3).\r\n" );
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document.write( "The Solution:\r\n" );
document.write( "We need to find the slope of the perpendicular line. Then we can find an equation for the line \r\n" );
document.write( "using point-slope form.\r\n" );
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document.write( "The original equation y = 2x + 2 is in slope-intercept form (y=mx+b) so we can read the slope \r\n" );
document.write( "right off the equation. The slope m is 2.\r\n" );
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document.write( "The slope of the perpendicular line will always have the slope -1/m. In this case, the slope of \r\n" );
document.write( "the perpendicular line is -1/m=-1/2.\r\n" );
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document.write( "The point-slope form for a line is y-y[1] = m(x-x[1]), where m is the slope and (x[1],y[1]) is a point on the line. \r\n" );
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document.write( "The point (x[1],y[1]) is (6,3), so the equation is\r\n" );
document.write( "y - (3) = (-1/2)(x - 6)\r\n" );
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document.write( "You can simplify this a bit if we want to, but it's not essential.\r\n" );
document.write( "y-3 = (-1/2)x+3\r\n" );
document.write( "y = (-1/2)x+6\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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