document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54978>Question 54978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line that passes through the points (3,5) and (-1,10) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37179 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I've done this one earlier today.  I put that one in slope intercept form, for you I'm going to put it in standard form, since you didn't specify a preference.<BR>\n" );
document.write( "Write the equation of the line that passes through the points (3,5) and (-1,10)<BR>\n" );
document.write( "First we need to find the slope between the two points because in order to find the equation of a line, we need one point and a slope.<BR>\n" );
document.write( "The slope formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x1,y1)=(3,5) and (x2,y2)=(-1,10)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2810-5%29%2F%28-1-3%29 ALIGN=MIDDLE  ALT=\"m=%2810-5%29%2F%28-1-3%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=5%2F-4 ALIGN=MIDDLE  ALT=\"m=5%2F-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, use the point slope formula:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y1=m%28x-x1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y1=m%28x-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (x1,y1) is a given point.  For this problem, m=-5/4 and (x1,y1)=(3,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=%28-5%2F4%29%28x-3%29 ALIGN=MIDDLE  ALT=\"y-5=%28-5%2F4%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28y-5%29=4%28-5%2F4%29%28x-3%29 ALIGN=MIDDLE  ALT=\"4%28y-5%29=4%28-5%2F4%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-20=-20%2F4%28x-3%29 ALIGN=MIDDLE  ALT=\"4y-20=-20%2F4%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-20=-5%28x-3%29 ALIGN=MIDDLE  ALT=\"4y-20=-5%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-20=-5x%2B15 ALIGN=MIDDLE  ALT=\"4y-20=-5x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y-20%2B20=-5x%2B15%2B20 ALIGN=MIDDLE  ALT=\"4y-20%2B20=-5x%2B15%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=-5x%2B35 ALIGN=MIDDLE  ALT=\"4y=-5x%2B35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B4y=5x-5x%2B35 ALIGN=MIDDLE  ALT=\"5x%2B4y=5x-5x%2B35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B4y=35 ALIGN=MIDDLE  ALT=\"5x%2B4y=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---standard form of a line<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Ax%2BBy=C%29 ALIGN=MIDDLE  ALT=\"highlight%28Ax%2BBy=C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );