document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009627>Question 1009627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the slope-intercept form of the equation with the given characteristics. \r<BR>\n" );
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document.write( "1. slope=1/4 ; y-intercept=2 \r<BR>\n" );
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document.write( "2. slope=-3/2 ; passes through (-4,7) \r<BR>\n" );
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document.write( "3. passes through (-2,1) and (2,-5) \r<BR>\n" );
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document.write( "4. parallel to the line y=-3x+5 ; passes through (-4,5) \r<BR>\n" );
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document.write( "8. perpendicular to the line y=1/2x-8 ; passes through (7,-6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625111 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=625111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Basic understanding should be, the form is y=mx+b, and m is slope, and a point on the line, actually on the y-axis is  (0,b).  The formula can be solved for b, giving b=y-mx.\r<BR>\n" );
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document.write( "ONLY two of the questions you asked will be solved here.\r<BR>\n" );
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document.write( "#8<BR>\n" );
document.write( "For perpendicular, you want negative reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the slope, which is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Find the y-intercept using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-mx=-6-%28-2%29%2A7=8 ALIGN=MIDDLE  ALT=\"b=y-mx=-6-%28-2%29%2A7=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "the resulting equation then being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-2x%2B8%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-2x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "With that one, you should know how to do  #2 yourself.\r<BR>\n" );
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document.write( "#3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-5-1%29%2F%282-%28-2%29%29=-6%2F4=-3%2F2 ALIGN=MIDDLE  ALT=\"m=%28-5-1%29%2F%282-%28-2%29%29=-6%2F4=-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So far giving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%283%2F2%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%283%2F2%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you can find b;<BR>\n" );
document.write( "pick either point of the line, maybe (-2,1);<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1-%28-3%2F2%29%2A%28-2%29 ALIGN=MIDDLE  ALT=\"b=1-%28-3%2F2%29%2A%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1-%283%2F2%292 ALIGN=MIDDLE  ALT=\"b=1-%283%2F2%292\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1-3 ALIGN=MIDDLE  ALT=\"b=1-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-2 ALIGN=MIDDLE  ALT=\"b=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation being looked for is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%283%2F2%29x-2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%283%2F2%29x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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