document.write( "Question 807836: Hello, I need help understanding this math problem. Please help me if you can. Thank you\r
\n" ); document.write( "\n" ); document.write( " Write an equation of the line that is parallel to the given line
\n" ); document.write( " y = 2x + 3 and the given point (-4,1).
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Algebra.Com's Answer #486554 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
By saying the unknown line is parallel to the
\n" ); document.write( "line \"+y+=+2x+%2B+3+\" you are saying that it has
\n" ); document.write( "the same slope.
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\n" ); document.write( "When the form of the equation is \"+y+=+m%2Ax+%2B+b+\"
\n" ); document.write( "as in this case, slope = \"+m+\", so slope = \"+2+\"
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\n" ); document.write( "So far, you know your unknown equation looks like
\n" ); document.write( "\"+y+=+2x+%2B+b+\"
\n" ); document.write( "And, also it goes through the point (x,y) = (-4,1)
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\n" ); document.write( "Now I can plug in the x and y value of this point
\n" ); document.write( "\"+1+=+2%2A%28-4%29+%2B+b+\"
\n" ); document.write( "\"+1+=+-8+%2B+b+\"
\n" ); document.write( "\"+b+=+9+\"
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\n" ); document.write( "So, the equation you are looking for is:
\n" ); document.write( "\"+y+=+2x+%2B+9+\"
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\n" ); document.write( "check:
\n" ); document.write( "does it go through (-4,1) ?
\n" ); document.write( "\"+1+=+2%2A%28-4%29+%2B+9+\"
\n" ); document.write( "\"+1+=+-8+%2B+9+\"
\n" ); document.write( "\"+1+=+1+\"
\n" ); document.write( "OK
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\n" ); document.write( "Here's a plot of both lines:
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B+3%2C+2x+%2B+9+%29+\"\r
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