document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262926>Question 262926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to do this question:<BR>\n" );
document.write( "Write the equation of the line that passes through the given point and is parallel to the given line. Give the answer in slope-intercept form. (-7,4) y+5x =-11 <BR>\n" );
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document.write( "thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193703 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that passes through the given point and is parallel to the given line. Give the answer in slope-intercept form. (-7,4) y+5x =-11 \r<BR>\n" );
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document.write( "The slope-intercept form of a line is:\r<BR>\n" );
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document.write( "y = m*x + b where m is the slope of the line and b is the value of y where the line crosses the y axis (that is when x=0).  \r<BR>\n" );
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document.write( "If we take the line y + 5*x = -11 and rewrite it in slope-intercept form we have:\r<BR>\n" );
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document.write( "y = -5x - 11\r<BR>\n" );
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document.write( "In this form we can see the slope of the line is -5. \r<BR>\n" );
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document.write( "Any line parallel to this line must also have a slope of -5 so the equation of the parallel line looks like:\r<BR>\n" );
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document.write( "y = -5x + b\r<BR>\n" );
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document.write( "We still need to find the value of b. Since we are told the point (-7,4) is on the line we can substitute -7 for x and 4 for y in the equation above and get:\r<BR>\n" );
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document.write( "4 = -5*-7 + b<BR>\n" );
document.write( "b = 39\r<BR>\n" );
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document.write( "So the equation of the parallel line is:\r<BR>\n" );
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document.write( "y = -5x + 39  </SPAN>\n" );
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