document.write( "Question 123301: write an eqation in point slope form of the line that is parrallel to the given line and passes through the given point.\r
\n" ); document.write( "\n" ); document.write( "y=5x+4, (0,0)\r
\n" ); document.write( "\n" ); document.write( "y=-1x+2, (8,-7)
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Algebra.Com's Answer #90491 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "Discussion
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\n" ); document.write( "The first thing to realize is that parallel lines have equal slopes, so in a
\n" ); document.write( "problem like this, you first need to determine the slope of the given line.
\n" ); document.write( "The best way to do this is to put the given equation into slope-intercept form
\n" ); document.write( "(\"y=mx%2Bb\") by solving the equation for y.\r
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\n" ); document.write( "\n" ); document.write( "Your next task is to write an equation in point-slope form (\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"),
\n" ); document.write( "using the slope you determined from the given equation and the given point.\r
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\n" ); document.write( "\n" ); document.write( "I'll show you how to do one of the problems, and then you should be able to do the other one.
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\n" ); document.write( "Solution
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\n" ); document.write( "\"y=5x%2B4\"\r
\n" ); document.write( "\n" ); document.write( "This equation is already in the slope-intercept form, so the first step is
\n" ); document.write( "done. You can determine the slope of the line by examining the coefficient on
\n" ); document.write( "the x term -- 5 in this case.\r
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\n" ); document.write( "\n" ); document.write( "Now take the coordinates from the given point, (0,0), and substitute them and
\n" ); document.write( "the value of the slope into the point-slope form of the line:\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"
\n" ); document.write( "\"y-0=5%28x-0%29\"
\n" ); document.write( "\"y=5x\", which is the desired equation.\r
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\n" ); document.write( "Check Answer
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\n" ); document.write( "\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C5x%2B4%2C5x%29\"\r
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\n" ); document.write( "\n" ); document.write( "The red line is a graph of your given equation, and the green line is the
\n" ); document.write( "graph of the derived parallel line equation.
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