document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769619>Question 769619</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Select the equation of the line that passes through the given two points. Note that the correct equation may not be in slope-intercept form (solve for y to get the slope-intercept form). \r<BR>\n" );
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document.write( "11. (-6,8),(10,-56) <BR>\n" );
document.write( "A y = -4 - 16x <BR>\n" );
document.write( "By = - 16 <BR>\n" );
document.write( "C4x + y = -16 <BR>\n" );
document.write( "D2x + y = 16 <BR>\n" );
document.write( "E y = -6 - 8x <BR>\n" );
document.write( "F y = -16 + 4x \r<BR>\n" );
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document.write( "12. (4,5), (19,-7) <BR>\n" );
document.write( "A -12x = -123 + 14y <BR>\n" );
document.write( "B-12x = -123 + 15y <BR>\n" );
document.write( "C-6x = 19 + 5y <BR>\n" );
document.write( "D4x + 5y = 41 <BR>\n" );
document.write( "E 5x + 5y = 10 <BR>\n" );
document.write( "F -16x = 312 - 19y  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468977 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation of line in slope-intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "with a number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > that is the slope,<BR>\n" );
document.write( "and a number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > that indicates the y-intercept, meaning that the line passes through (0,b).<BR>\n" );
document.write( " <BR>\n" );
document.write( "11. The slope of the line that passes through (-6,8) and (10,-56) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-56-8%29%2F%2810-%28-6%29%29=-64%2F%2810%2B6%29=-64%2F16=-4 ALIGN=MIDDLE  ALT=\"%28-56-8%29%2F%2810-%28-6%29%29=-64%2F%2810%2B6%29=-64%2F16=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are many lines with a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but a line that passes through those two points must have a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we can eliminate of the choices that have a different slope.  <BR>\n" );
document.write( "A <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4+-+16x+ ALIGN=MIDDLE  ALT=\"y+=+-4+-+16x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in slope-intercept form and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16 ALIGN=MIDDLE  ALT=\"-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-+16++ ALIGN=MIDDLE  ALT=\"y+=+-+16++\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in slope-intercept form and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C%29 ALIGN=MIDDLE  ALT=\"highlight%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+y+=+-16 ALIGN=MIDDLE  ALT=\"4x+%2B+y+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be transformed into the slope intercept form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+y+=+-16 ALIGN=MIDDLE  ALT=\"4x+%2B+y+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-16+-4x ALIGN=MIDDLE  ALT=\"y+=+-16+-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-4%29 ALIGN=MIDDLE  ALT=\"highlight%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+y+=+16 ALIGN=MIDDLE  ALT=\"2x+%2B+y+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be transformed into the slope intercept form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+y+=+16 ALIGN=MIDDLE  ALT=\"2x+%2B+y+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-16+-2x ALIGN=MIDDLE  ALT=\"y+=+-16+-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "E <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-6+-+8x ALIGN=MIDDLE  ALT=\"y+=+-6+-+8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in slope-intercept form and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8 ALIGN=MIDDLE  ALT=\"-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "F <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-16+%2B+4x ALIGN=MIDDLE  ALT=\"y+=+-16+%2B+4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in slope-intercept form and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " <BR>\n" );
document.write( "12.  The slope of the line that passes through (4,5) and (19,-7) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7-5%29%2F%2819-4%29=-12%2F15=-3%2F5=-0.6 ALIGN=MIDDLE  ALT=\"%28-7-5%29%2F%2819-4%29=-12%2F15=-3%2F5=-0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are many lines with a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5=-0.6 ALIGN=MIDDLE  ALT=\"-3%2F5=-0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but a line that passes through those two points must have a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5=-0.6 ALIGN=MIDDLE  ALT=\"-3%2F5=-0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we can eliminate of the choices that have a different slope.  <BR>\n" );
document.write( "A <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x+=+-123+%2B+14y ALIGN=MIDDLE  ALT=\"-12x+=+-123+%2B+14y\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be transformed into the slope intercept form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+-123+%2B+14y ALIGN=MIDDLE  ALT=\"12x+=+-123+%2B+14y\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14y+=+12x+%2B123 ALIGN=MIDDLE  ALT=\"14y+=+12x+%2B123\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2812%2F14%29x+%2B123%2F14 ALIGN=MIDDLE  ALT=\"y+=+%2812%2F14%29x+%2B123%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F14=6%2F7 ALIGN=MIDDLE  ALT=\"12%2F14=6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B%29 ALIGN=MIDDLE  ALT=\"highlight%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x+=+-123+%2B+15y ALIGN=MIDDLE  ALT=\"-12x+=+-123+%2B+15y\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x+%2B123+=15y ALIGN=MIDDLE  ALT=\"-12x+%2B123+=15y\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%2F15%29x+%2B123%2F15+=y ALIGN=MIDDLE  ALT=\"%28-12%2F15%29x+%2B123%2F15+=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F15=highlight%28-3%2F5%29 ALIGN=MIDDLE  ALT=\"-12%2F15=highlight%28-3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "C <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x+=+19+%2B+5y+ ALIGN=MIDDLE  ALT=\"-6x+=+19+%2B+5y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x-19=5y+ ALIGN=MIDDLE  ALT=\"-6x-19=5y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6%2F5%29x-19%2F5=y+ ALIGN=MIDDLE  ALT=\"%28-6%2F5%29x-19%2F5=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F5 ALIGN=MIDDLE  ALT=\"-6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+5y+=+41 ALIGN=MIDDLE  ALT=\"4x+%2B+5y+=+41\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=+41-4x ALIGN=MIDDLE  ALT=\"5y+=+41-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-4%2F5%29x%2B41%2F5 ALIGN=MIDDLE  ALT=\"y=%28-4%2F5%29x%2B41%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F5 ALIGN=MIDDLE  ALT=\"-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "E <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+5y+=+10 ALIGN=MIDDLE  ALT=\"5x+%2B+5y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+=10-5x ALIGN=MIDDLE  ALT=\"5y+=10-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-5%2F5%29x%2B10%2F5+ ALIGN=MIDDLE  ALT=\"y=%28-5%2F5%29x%2B10%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B2 ALIGN=MIDDLE  ALT=\"y=-x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "F <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16x+=+312+-+19y ALIGN=MIDDLE  ALT=\"-16x+=+312+-+19y\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16x-312=-19y ALIGN=MIDDLE  ALT=\"-16x-312=-19y\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-16%2F%28-19%29%29x-312%2F%28-19%29 ALIGN=MIDDLE  ALT=\"y=%28-16%2F%28-19%29%29x-312%2F%28-19%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2816%2F19%29x-312%2F19 ALIGN=MIDDLE  ALT=\"y=%2816%2F19%29x-312%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F19 ALIGN=MIDDLE  ALT=\"16%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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