document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825820>Question 825820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. Determine the equation of the line connecting the points (0,-1) and (2,3). \r<BR>\n" );
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document.write( "b. Will the line described by the equation in (a) intersect the line passing through the points (-2,4) and (-3,3)? Explain why or why not.<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 #497611 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (0,-1) and (2,3)<BR>\n" );
document.write( "Use the point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m%2Ax+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+m%2Ax+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = slope<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = y-intercept<BR>\n" );
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document.write( "The line goes through ( 0,-1 )<BR>\n" );
document.write( "which is the y-intercept, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-1+%29%0D%0A---------------------%0D%0A%7B%7B%7Bm+ ALIGN=MIDDLE  ALT=\"+b+=+-1+%29%0D%0A---------------------%0D%0A%7B%7B%7Bm+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ( change in y ) / ( change in x )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+%28+3+-%28-1%29+%29+%2F+%28+2+-+0+%29+ ALIGN=MIDDLE  ALT=\"+m+=+%28+3+-%28-1%29+%29+%2F+%28+2+-+0+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+4%2F2+ ALIGN=MIDDLE  ALT=\"+m+=+4%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+2+ ALIGN=MIDDLE  ALT=\"+m+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So, the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+2x+-+1+ ALIGN=MIDDLE  ALT=\"+y+=+2x+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "(-2,4) and (-3,3)<BR>\n" );
document.write( "If the slope of the other line is NOT<BR>\n" );
document.write( "the same as this line, then they will intersect<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5B2%5D+=+%28+4+-+3+%29+%2F+%28+-2+-%28-3%29%29+ ALIGN=MIDDLE  ALT=\"+m%5B2%5D+=+%28+4+-+3+%29+%2F+%28+-2+-%28-3%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5B2%5D+=+1+%2F+1+ ALIGN=MIDDLE  ALT=\"+m%5B2%5D+=+1+%2F+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This slope is different, so they will intersect\r<BR>\n" );
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