document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066457>Question 1066457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through (-6,10), parallel to the line with equation 3x-7y=14. Write the new equation in point-slope form. Convert the equation of the new line to standard form, Ax+By=C, where A, B, and C are integers. </SPAN>\n" );
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document.write( "...equation of the line through (-6,10), parallel to the line with equation 3x-7y=14. <BR>\n" );
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document.write( "The entire left-side member can be kept the same to keep in STANDARD FORM.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-7y=3%28-6%29-7%2810%29 ALIGN=MIDDLE  ALT=\"3x-7y=3%28-6%29-7%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the right side member is simply the left-expression with the included point substituted.\r<BR>\n" );
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document.write( "Simplifying,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18-70=-88 ALIGN=MIDDLE  ALT=\"-18-70=-88\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283x-7y=-88%29 ALIGN=MIDDLE  ALT=\"highlight%283x-7y=-88%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------the standard form for the equation asked for.\r<BR>\n" );
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document.write( "Note, the slope is still unchanged, because also \"parallel\" line was wanted.\r<BR>\n" );
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document.write( "The slope is still <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  To put the desired equation into point-slope form,  containing  point  (-6,10),  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-10=%283%2F7%29%28x%2B6%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-10=%283%2F7%29%28x%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Putting into point-slope form first, and then converting into standard form Ax+By=C was not necessary.   </SPAN>\n" );
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