document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202816>Question 202816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1ST QUESTION:Which of the follow best describes the slope, m=2\3 \r<BR>\n" );
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document.write( "2nd question:Determine if the lines are parallel, perpendicular, same line, or none of the above. y= -3/5x+2 & 3x+5y=20\r<BR>\n" );
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document.write( " 3rd:Find the equation for the line through(2,6)y=-5/4x+1  and perpendicular to .  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153078 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=153078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1ST QUESTION:Which of the follow best describes the slope, m=2\3 \r<BR>\n" );
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document.write( "You didn't list anything that follows under what best describes a slope of <BR>\n" );
document.write( "m = 2/3 so, I'm not sure what you are looking for here.  If there was a choice, tho, that said m = 2/3 is the same as saying you rise up 2 and go over 3, from the y-intercept, then that would be the correct slope.\r<BR>\n" );
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document.write( "2nd question:Determine if the lines are parallel, perpendicular, same line, or none of the above. y= -3/5x+2 & 3x+5y=20 \r<BR>\n" );
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document.write( "Here are a couple of facts to help you:\r<BR>\n" );
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document.write( "First, parallel lines have the SAME slope<BR>\n" );
document.write( "Second, perpendicular lines have slopes that are opposite reciprocal of one another.  SO if you had a slope of <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;\" >, then a line perpendicular to that would have a slope of:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So in your first line, you have:  y = -3/5x + 2. Since the line is in the <BR>\n" );
document.write( "y = mx + b format, where \"m\" is the slope, then in this equation, your slope equals <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;\" >.  \r<BR>\n" );
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document.write( "A line PARALLEL to that line would have a slope of <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;\" ><BR>\n" );
document.write( "A line PERPENDICULAR to that would have a slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the second line is this:  3x+5y=20  What is the slope of this line?  Well, we don't know until we put it in the y = mx + b format, which means we have to solve for y.  So let's do that:\r<BR>\n" );
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document.write( "3x+5y=20  (original equation)<BR>\n" );
document.write( "5y = -3x + 20  (subtracted 3x from both sides)\r<BR>\n" );
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document.write( "y = <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;\" >x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F5 ALIGN=MIDDLE  ALT=\"20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (divided both sides by 5)<BR>\n" );
document.write( "y = <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;\" >x + 4 (final answer)\r<BR>\n" );
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document.write( "What is the slope of this line?   It is <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;\" >  It didn't matter that the y intercept in this equation is 4 and the y intercept in the previous equation was 2.  What matters (when speaking about lines being parallel and perpendicular) is the SLOPE.   \r<BR>\n" );
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document.write( "Ok then, our two slopes are EQUAL and therefore the lines are PARALLEL.\r<BR>\n" );
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document.write( "3rd:Find the equation for the line through(2,6)y=-5/4x+1 and perpendicular to .\r<BR>\n" );
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document.write( "Unfortunately, you didn't tell me what this line must be perpendicular to, so I cannot solve this question for you.  Can you re post please?\r<BR>\n" );
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document.write( "I hope this helps.........\r<BR>\n" );
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document.write( ":-)  </SPAN>\n" );
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