document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215214>Question 215214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation in standard form with integral coefficents for the line thru the point (5,3) and parallel to the line Y= -7/6x+19 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162611 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation in standard form with integral coefficents for the line thru the point (5,3) and parallel to the line y= -7/6x+19\r<BR>\n" );
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document.write( "Step 1.  An equation is in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept at point (0,b).\r<BR>\n" );
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document.write( "Step 2.  Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7x%2F6%2B19 ALIGN=MIDDLE  ALT=\"y=-7x%2F6%2B19\"   DISABLED_style= \"max-width:90%; height:auto;\" > has slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-7%2F6 ALIGN=MIDDLE  ALT=\"m=-7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and y-intercept <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=19 ALIGN=MIDDLE  ALT=\"b=19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  Parallel lines have the same slope so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-7%2F6 ALIGN=MIDDLE  ALT=\"m=-7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > for our example.\r<BR>\n" );
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document.write( "Step 4.  The parallel line must pass through point (5,3) or x=5 and y=3.  To find the y-intercept b for this line we use the following equation,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7x%2F6%2Bb ALIGN=MIDDLE  ALT=\"y=-7x%2F6%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-7%2A5%2F6%2Bb ALIGN=MIDDLE  ALT=\"3=-7%2A5%2F6%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=-35%2F6%2Bb ALIGN=MIDDLE  ALT=\"3=-35%2F6%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%2818%2B35%29%2F6=53%2F6 ALIGN=MIDDLE  ALT=\"b=%2818%2B35%29%2F6=53%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  The equation for the parallel line in slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7x%2F6%2B53%2F6 ALIGN=MIDDLE  ALT=\"y=-7x%2F6%2B53%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 6.  The equation of a line in standard form is defined as Ax+By=C where A, B, and C are constants.\r<BR>\n" );
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document.write( "Step 7.  To put the equation in Step 5 in standard form, multiply 6 to both sides of the equation to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=-7x%2B53 ALIGN=MIDDLE  ALT=\"6y=-7x%2B53\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now add 7x to both sides of the equation to get it in standard form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B6y=53 ALIGN=MIDDLE  ALT=\"7x%2B6y=53\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 8.  ANSWER:  The equation of the parallel line is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B6y=53 ALIGN=MIDDLE  ALT=\"7x%2B6y=53\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( " </SPAN>\n" );
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