document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058171>Question 1058171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line intersects the y-axis, the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+2x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the x-axis at the points A, B, and C respectively. If segment AC has a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+sqrt%282%29 ALIGN=MIDDLE  ALT=\"4+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units and B lies in the first quadrant and is the midpoint of segment AC, find the equation of the line in slope-intercept form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673379 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's assume that the line intersects the x-axis at A:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and the y-axis at C:(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "So you the distance is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-0%29%5E2%2B%280-c%29%5E2=%284sqrt%282%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28a-0%29%5E2%2B%280-c%29%5E2=%284sqrt%282%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bc%5E2=32 ALIGN=MIDDLE  ALT=\"a%5E2%2Bc%5E2=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You also know that the midpoint is B and using the equation of the midpoint,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bb%5D=%28a%2B0%29%2F2=a%2F2 ALIGN=MIDDLE  ALT=\"x%5Bb%5D=%28a%2B0%29%2F2=a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5Bb%5D=%28b%2B0%29%2F2=c%2F2 ALIGN=MIDDLE  ALT=\"y%5Bb%5D=%28b%2B0%29%2F2=c%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since it's a common point between the line and the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B2 ALIGN=MIDDLE  ALT=\"y=2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2=2%28a%2F2%29%2B2 ALIGN=MIDDLE  ALT=\"c%2F2=2%28a%2F2%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F2=a%2B2 ALIGN=MIDDLE  ALT=\"c%2F2=a%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2a%2B4 ALIGN=MIDDLE  ALT=\"c=2a%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B%282a%2B4%29%5E2=32 ALIGN=MIDDLE  ALT=\"a%5E2%2B%282a%2B4%29%5E2=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B4a%5E2%2B16a%2B16=32 ALIGN=MIDDLE  ALT=\"a%5E2%2B4a%5E2%2B16a%2B16=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%5E2%2B16a-16=0 ALIGN=MIDDLE  ALT=\"5a%5E2%2B16a-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2B4%29%285a-4%29=0 ALIGN=MIDDLE  ALT=\"%28a%2B4%29%285a-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you only allow solutions in Q1, only use the positive solution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a-4=0 ALIGN=MIDDLE  ALT=\"5a-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4%2F5 ALIGN=MIDDLE  ALT=\"a=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=2%284%2F5%29%2B20%2F5 ALIGN=MIDDLE  ALT=\"c=2%284%2F5%29%2B20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=28%2F5 ALIGN=MIDDLE  ALT=\"c=28%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can then calculate the slope of the line,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28c-0%29%2F%280-a%29=%2828%2F5%29%2F%28-4%2F5%29=-7 ALIGN=MIDDLE  ALT=\"m=%28c-0%29%2F%280-a%29=%2828%2F5%29%2F%28-4%2F5%29=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=-7x%2B28%2F5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=-7x%2B28%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=lp17.JPG\">.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );