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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( "Consider the line y=7x-6 \r\n" );
document.write( "Find the equation of the line that is parallel to this line and passes through the point (6,-5). \r\n" );
document.write( "Find the equation of the line that is perpendicular to this line and passes through the point (6,-5).\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "When two lines are parallel, they have the same slope, but the y-intercepts are different.\r\n" );
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document.write( "{1} parallel line\r\n" );
document.write( "Your original equation is in slope-intercept form: (y=mx+b). The slope m is the coefficient of the \r\n" );
document.write( "x term; it's 7.\r\n" );
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document.write( "We know that the parallel line has a slope of 7 and that it passes through the point (6,-5). \r\n" );
document.write( "We'll substitute these known values into the slope-intercept form and solve for the \r\n" );
document.write( "y-intercept b.\r\n" );
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document.write( "y = mx + b\r\n" );
document.write( "-5 = (7)(6) + b\r\n" );
document.write( "-5 = 42 + b\r\n" );
document.write( "b = -47\r\n" );
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document.write( "The equation of the parallel line is y = 7x - 47.\r\n" );
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document.write( "{2} perpendicular line\r\n" );
document.write( "If a line has a slope m, then the line perpendicular to it has the slope -1/m.\r\n" );
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document.write( "Since the original equation has a slope of 7, the perpendicular line has a slope of -1/7. \r\n" );
document.write( "From here the procedure is quite similar to finding the parallel line's equation. Use the\r\n" );
document.write( "slope-intercept form to find the y-intercept.\r\n" );
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document.write( "y = mx + b\r\n" );
document.write( "-5 = (-1/7)(6) + b\r\n" );
document.write( "-5 = (-6/7) + b\r\n" );
document.write( "b = -5 + 6/7\r\n" );
document.write( "b = -29/7\r\n" );
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document.write( "The equation for the perpendicular line is y = (-1/7)x - 29/7.\r\n" );
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document.write( "Please email me if you have questions about the solution. I'd appreciate the feedback, and I'm glad \r\n" );
document.write( "to help.\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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