document.write( "Question 825524: find the slope and y-intercept of 5y-25x-5=0\r
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Algebra.Com's Answer #497362 by Edwin McCravy(20055) $\"\"$ $\"About$
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document.write( "5y-25x-5 = 0\r\n" );
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document.write( "You have to get it in the form\r\n" );
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document.write( "y = ↏x + ↏ or y = ↏x - ↏, \r\n" );
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document.write( "where there are numbers in those boxes.\r\n" );
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document.write( "It's called the \"(slope)(y-intercept)\" form and is usually written\r\n" );
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document.write( "y = mx + b where m is a number which is the slope (how steep the line\r\n" );
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document.write( "is and the y-intercept is the point (0,b).\r\n" );
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document.write( "To get \r\n" );
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document.write( "5y-25x-5 = 0   in that form. First we isolate the y-term which is 5y\r\n" );
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document.write( "We add +25x and +5 to both sides:\r\n" );
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document.write( "5y-25x-5 = 0\r\n" );
document.write( "  +25x+5   +25x+5\r\n" );
document.write( "-----------------\r\n" );
document.write( "5y       = 25x+5\r\n" );
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document.write( "That give us\r\n" );
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document.write( "5y = 25x+5\r\n" );
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document.write( "Now we want to get just y on both sides, so we divide all the numbers\r\n" );
document.write( "on both sides by 5\r\n" );
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document.write( "Then we simplify by canceling:\r\n" );
document.write( " _{1          5          1}\r\n" );
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document.write( "  ^{1         1          1}\r\n" );
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document.write( "And you get\r\n" );
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document.write( " y = 5x + 1\r\n" );
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document.write( "Next you compare that to \r\n" );
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document.write( " y = mx + b\r\n" );
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document.write( "So m is 5 and b is 1 and so the slope, m, is 5 and the \r\n" );
document.write( "y-intercept is the point (0,1). And the graph is a line\r\n" );
document.write( "that rises 5 units for every unit is runs to the right.\r\n" );
document.write( "And it crosses the y-axis at the point (0,1)\r\n" );
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document.write( "The black line is the graph of the line.  You will notice that\r\n" );
document.write( "it crosses the y-axis at the y-intercept (0,1).  You will also\r\n" );
document.write( "notice that the green lines show that the black line rises 5\r\n" );
document.write( "units for every 1 unit that it \"runs\" to the right.  (The\r\n" );
document.write( "green lines are not part of the graph, I put them in to show\r\n" );
document.write( "that the vertical green line is the \"rise\" and the horizontal\r\n" );
document.write( "line is the \"run\".  The slope always equals the rise over the run,\r\n" );
document.write( "which is the coefficient of x on the right side of the equation.\r\n" );
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document.write( "Edwin
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