document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397753>Question 397753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I have a few questions here which all relate to one another and I am having equal difficulty in completing. I will appreciate any and all answers.<BR>\n" );
document.write( "Problem: Given A(1, 5); B(6, 2); C(-6, -4); and D(-3, 1) answer the following. <BR>\n" );
document.write( "1)Find the slope of line AB.<BR>\n" );
document.write( "2)Find the length of line CD. (Round to nearest tenth's place.)<BR>\n" );
document.write( "3)Find the midpoint of line BD. (Express in terms of fractions.)<BR>\n" );
document.write( "4)Find (a) the slope and (b) the y-intercept of the line with the equation 4x+2y=6.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much!!!! I eagerly await your solution. Thanks in advance for all<BR>\n" );
document.write( "of your help! :D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281912 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Problem: Given A(1, 5); B(6, 2); C(-6, -4); and D(-3, 1) answer the following.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1)Find the slope of line AB.<BR>\n" );
document.write( "Find the slope using the slope formula: m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assign the given points for A & B as follows<BR>\n" );
document.write( "x1=1; y1=5<BR>\n" );
document.write( "x2=6; y2=2<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-5%29%2F%286-1%29 ALIGN=MIDDLE  ALT=\"%282-5%29%2F%286-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%29%2F%285%29 ALIGN=MIDDLE  ALT=\"%28-3%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope of line AB<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2)Find the length of line CD. (Round to nearest tenth's place.)<BR>\n" );
document.write( "Use the dist equation: d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assign the given points for C & D as follows<BR>\n" );
document.write( "x1=-6; y1=-4<BR>\n" );
document.write( "x2=-3; y2=1<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-3-%28-6%29%29%5E2+%2B+%281-%28-4%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-3-%28-6%29%29%5E2+%2B+%281-%28-4%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which is<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-3%2B6%29%5E2+%2B+%281%2B4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28-3%2B6%29%5E2+%2B+%281%2B4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%283%29%5E2+%2B+%285%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%283%29%5E2+%2B+%285%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289+%2B+25%29 ALIGN=MIDDLE  ALT=\"sqrt%289+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834%29 ALIGN=MIDDLE  ALT=\"sqrt%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.8 is the length of CD<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3)Find the midpoint of line BD. (Express in terms of fractions.)<BR>\n" );
document.write( "Use the mid=point formula: mp = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x1%2Bx2%29%2F2 ALIGN=MIDDLE  ALT=\"%28x1%2Bx2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y1%2By2%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28y1%2By2%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assign the BD values as follows<BR>\n" );
document.write( "x1=6; y1=2<BR>\n" );
document.write( "x2=-3; y2=1<BR>\n" );
document.write( "mp = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-3%29%2F2 ALIGN=MIDDLE  ALT=\"%286-3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B1%29%2F2%29 ALIGN=MIDDLE  ALT=\"%282%2B1%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the mid-point<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "4)Find (a) the slope and (b) the y-intercept of the line with the equation 4x+2y=6.<BR>\n" );
document.write( "Convert to the slope intercept form y = mx-b <BR>\n" );
document.write( "4x + 2y = 6<BR>\n" );
document.write( "2y = -4x + 6<BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "y = -2x + 3<BR>\n" );
document.write( "(a) slope: -2<BR>\n" );
document.write( "(b) y intercept + 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "These are the methods for each of these questions, however, there is a lot of<BR>\n" );
document.write( " chances for math errors here.<BR>\n" );
document.write( " Follow this with your own calculations to help you learn and make sure I did <BR>\n" );
document.write( "not make a mistake here somewhere.  CArl </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );