document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206663>Question 1206663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation passing through (1,0) and that is parallel to 4x+2y=7. </SPAN>\n" );
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document.write( "The slope of Ax+By = C is m = -A/B<BR>\n" );
document.write( "If B = 0, then the slope is undefined and the line is vertical.\r<BR>\n" );
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document.write( "In the case of 4x+2y = 7 the slope is m = -A/B = -4/2 = -2.\r<BR>\n" );
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document.write( "Any parallel line to this will also have slope of -2.<BR>\n" );
document.write( "Parallel lines have equal slopes but different y intercepts.\r<BR>\n" );
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document.write( "y = mx+b<BR>\n" );
document.write( "y = -2x+b .... plug in slope<BR>\n" );
document.write( "0 = -2*1+b .... plug in point's coordinates<BR>\n" );
document.write( "0 = -2+b<BR>\n" );
document.write( "b = 2\r<BR>\n" );
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document.write( "We determine that<BR>\n" );
document.write( "m = -2 and b = 2<BR>\n" );
document.write( "It means y = mx+b turns into <font color=red>y = -2x+2</font><BR>\n" );
document.write( "That is the slope-intercept version of the answer.\r<BR>\n" );
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document.write( "If you want the answer in standard form, then add the 2x to both sides<BR>\n" );
document.write( "y = -2x+2<BR>\n" );
document.write( "2x+y = 2<BR>\n" );
document.write( "Note that doubling both sides leads to 4x+2y = 4, where we see the \"4x+2y\" expression show up again. <BR>\n" );
document.write( "4x+2y = 7 is parallel to 4x+2y = 4<BR>\n" );
document.write( "This is because Ax+By = C is parallel to Ax+By = D, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+%3C%3E+D ALIGN=MIDDLE  ALT=\"C+%3C%3E+D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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