document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905545>Question 905545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a question from a worksheet that is confusing to me:\r<BR>\n" );
document.write( "\n" );
document.write( "Explain in words how to write an equation that is part one: parallel and then also part two: perpendicular to the equation   y=2/3x-4 passing through the point (-2,-5). Write your answer in standard form.\r<BR>\n" );
document.write( "\n" );
document.write( "I'm hoping to get a detailed answer so I know what I'm doing on the test next week... Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549289 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=549289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  write an equation that is part one: parallel and then also part two: perpendicular to the equation y=2/3x-4 passing through the point (-2,-5). Write your answer in standard form. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 4<BR>\n" );
document.write( "equations of parallel lines have the same slope<BR>\n" );
document.write( "Using the slope intercept form y = mx + b<BR>\n" );
document.write( "Replace x and y with the given point, x=-2; then y = -5, slope is 2/3<BR>\n" );
document.write( "-5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(-2) + b<BR>\n" );
document.write( "-5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F3 ALIGN=MIDDLE  ALT=\"-4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + b<BR>\n" );
document.write( "-5 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2F3 ALIGN=MIDDLE  ALT=\"-15%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11%2F3 ALIGN=MIDDLE  ALT=\"-11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = b<BR>\n" );
document.write( "the equation<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F3 ALIGN=MIDDLE  ALT=\"11%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The standard form ax + by = c, with all integer coefficients<BR>\n" );
document.write( "Multiply our equation by 3 to get rid of the denominators<BR>\n" );
document.write( "3y = 2x - 11<BR>\n" );
document.write( "-2x + 3y = -11<BR>\n" );
document.write( "or you can mult by -1 and you have fewer negatives<BR>\n" );
document.write( "2x - 3y = 11<BR>\n" );
document.write( ":<BR>\n" );
document.write( "perpendicular, the slopes relationship; m1*m2 = -1<BR>\n" );
document.write( "Assuming m1 = 2/3, find m2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > * m2 = -1<BR>\n" );
document.write( "Multiply both sides by 3/2 and you have<BR>\n" );
document.write( "m2 = <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;\" >Using the slope intercept form y = mx + b<BR>\n" );
document.write( "Replace x and y with the given point, x=-2; then y = -5, slope is -3/2<BR>\n" );
document.write( "-5 = <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;\" >(-2) + b<BR>\n" );
document.write( "-5 = 3 + b<BR>\n" );
document.write( "-5 - 3 = b<BR>\n" );
document.write( "b = -8<BR>\n" );
document.write( "the equation<BR>\n" );
document.write( "y = <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;\" >x - 8<BR>\n" );
document.write( "The standard form ax + by = c, with all integer coefficients<BR>\n" );
document.write( "Multiply our equation by 2 to get rid of the denominators<BR>\n" );
document.write( "2y = -3x - 16<BR>\n" );
document.write( "3x + 2y = -16 is the standard form<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this for yourself replace x with -2 and y with -5, equals -16<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );