document.write( "Question 855549: find the equation of the line through (3,4) and parallel to y=4x+2. write the equation using function notation.
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Algebra.Com's Answer #515487 by Edwin McCravy(20059) $\"\"$ $\"About$

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find the equation of the line through (3,4)
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document.write( "We find the slope of y=4x+2 by comparing it\r\n" );
document.write( "to y=mx+b, and noticing that m=4. [we also\r\n" );
document.write( "notice that b=2 but we won't use that.]\r\n" );
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document.write( "So we use the point-slope formula to find the\r\n" );
document.write( "equation of the line with that same slope:\r\n" );
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document.write( "y-y1 = m(x-x1)\r\n" );
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document.write( " y-4 = 4(x-3)\r\n" );
document.write( " y-4 = 4x-12\r\n" );
document.write( "   y = 4x-8\r\n" );
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document.write( "If you compare that to y=mx+b, you find that this one has the \r\n" );
document.write( "same slope but a different value of b, a different y-intercept,\r\n" );
document.write( "where the line crosses the y-axis.\r\n" );
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document.write( "But your problem stated write the equation using function notation. \r\n" );
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document.write( "So change the y to f(x) and write:\r\n" );
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document.write( "f(x) = 4x-8\r\n" );
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document.write( "Edwin

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