document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173453>Question 1173453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the slope of a line parallel to the line whose equation is 10x-4y=24. what is my answer fully reduced </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798649 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if the line is parallel, then the slope is the same and the y-intercept is different.\r<BR>\n" );
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document.write( "convert your equation to slope intercept form as follows:\r<BR>\n" );
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document.write( "start with 10x - 4y = 24<BR>\n" );
document.write( "add 4y to both sides of the equation to get 10x = 4y + 24<BR>\n" );
document.write( "subtract 24 from both sides of the equation to get 10x - 24 = 4y<BR>\n" );
document.write( "switch sides to get 4y = 10x - 24<BR>\n" );
document.write( "divide both sides by 4 to get y = 10/4 * x - 24/4<BR>\n" );
document.write( "simplify to get y = 2.5x - 6\r<BR>\n" );
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document.write( "y = 2.5x - 6 is the slope intercept form of the equation of the standard form equation of 10x - 4y = 24.\r<BR>\n" );
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document.write( "the graph of the equation in both forms will show you the same line.<BR>\n" );
document.write( "here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/012102.jpg\" >\r<BR>\n" );
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document.write( "any line with the same slope and a different y-intercept will be parallel to that line.\r<BR>\n" );
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document.write( "one example is y = 2.5x + 1 which is in slope intercept form.\r<BR>\n" );
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document.write( "the standard form of y = 2.5x + 1 is found as follows:<BR>\n" );
document.write( "start with y = 2.5x + 1<BR>\n" );
document.write( "subtract y from both sides of this equation and subtract 1 from both sides of this equation to get -1 = 2.5x - y<BR>\n" );
document.write( "switch sides to get 2.5x - y = -1<BR>\n" );
document.write( "multiply both sides of this equation by 2 to get 5x - 2y = -2\r<BR>\n" );
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document.write( "5x - 2y = -2 is the standard form equation of the slope intercept form equation of y = 2.5x + 1.\r<BR>\n" );
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document.write( "any multiple of the standard form of that equation will form the same line.\r<BR>\n" );
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document.write( "for example, 10x - 4y = -4 makes the same line on the graph as 5x - 2y = -2.\r<BR>\n" );
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document.write( "here's the graph of the equation of the line parallel to 10x - 4y = 24\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/012104.jpg\" >\r<BR>\n" );
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document.write( "the equations in red make the same red line.\r<BR>\n" );
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document.write( "the equations in blue make the same blue line.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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