document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526414>Question 526414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find equation of line passing through the points: (1, 4) parallel to the line 3x + y = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348511 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard Form of Equation of the line:<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "3x + y = 5<BR>\n" );
document.write( "rearrage the above equation according to the standard form<BR>\n" );
document.write( "y=-3x+5<BR>\n" );
document.write( "Compare above equation with the standard form equation<BR>\n" );
document.write( "m=-3 and b=5<BR>\n" );
document.write( "Since lines are parallel their slopes will be same.<BR>\n" );
document.write( "So slope of the required line will be (-3)<BR>\n" );
document.write( "Now we have a point(1,4) and slope (-3)of the line we can easily find \r<BR>\n" );
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document.write( "required lines by putting these values in the equation of the straight line \r<BR>\n" );
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document.write( "poin-slope form.<BR>\n" );
document.write( "m=(y2-y1)/(x2-x1)<BR>\n" );
document.write( "-3=(y-4)/(x-1)<BR>\n" );
document.write( "-3(x-1)=y-4<BR>\n" );
document.write( "-3x+3=y-4<BR>\n" );
document.write( "y=-3x+3+4<BR>\n" );
document.write( "y=-3x+7 (The standard form of the required equation of the straight line)\r<BR>\n" );
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document.write( "Graph<BR>\n" );
document.write( "Given line = Red<BR>\n" );
document.write( "Required line = Green<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y=-3x%2B5%2Cy=-3x%2B7%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y=-3x%2B5%2Cy=-3x%2B7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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