document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771401>Question 771401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Line A has a slope of -4 and passes through (-25,-10). line B has x intercept of 10 and y intercept of 25.<BR>\n" );
document.write( "a.)the distance of line A to point (8,-3).<BR>\n" );
document.write( "b.)the point of intersection of lines A and B.<BR>\n" );
document.write( "c.)determine the equation of the line perpendicular to line B and passing through (-20,10).<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470233 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=470233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using some general point on a line, (u,v), the the point-slope form of a line would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-v=m%28x-u%29 ALIGN=MIDDLE  ALT=\"y-v=m%28x-u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, from which you can make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%28x-u%29%2Bv ALIGN=MIDDLE  ALT=\"y=m%28x-u%29%2Bv\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using that general point-slope formula for a line, you find line A this way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4%28x-%28-25%29%29%2B%28-10%29 ALIGN=MIDDLE  ALT=\"y=-4%28x-%28-25%29%29%2B%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x-100-10 ALIGN=MIDDLE  ALT=\"y=-4x-100-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-4x-110%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-4x-110%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ________________Line A.\r<BR>\n" );
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document.write( "You can do similarly for line B.\r<BR>\n" );
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document.write( "Question (a):  How far is line A to (8, -3)?<BR>\n" );
document.write( "The best way to start this one is, find the line containing (8, -3) which is perpendicular to  line A.  In finding this, initially we do not know the y-intercept.<BR>\n" );
document.write( "We want slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F4%29x%2Bb ALIGN=MIDDLE  ALT=\"y=%281%2F4%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where unknown y-intercept is b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-%281%2F4%29x ALIGN=MIDDLE  ALT=\"b=y-%281%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%28-3%29-%281%2F4%29%2A8 ALIGN=MIDDLE  ALT=\"b=%28-3%29-%281%2F4%29%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-5 ALIGN=MIDDLE  ALT=\"b=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This perpendicular line to A is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%281%2F4%29x-5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F4%29x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What is intersection point of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F4%29x-5 ALIGN=MIDDLE  ALT=\"y=%281%2F4%29x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x-110 ALIGN=MIDDLE  ALT=\"y=-4x-110\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "Equating the y formulas, solving for x, then returning and solving for y,<BR>\n" );
document.write( "these line intersect at.... (-420/17, 20/17).<BR>\n" );
document.write( "Use distance formula to find the distance from (-420/17, 20/17) to (8, -3).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D=sqrt%28%28-420%2F17-8%29%5E2%2B%2820%2F17-%28-3%29%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28D=sqrt%28%28-420%2F17-8%29%5E2%2B%2820%2F17-%28-3%29%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remaining calculation not shown...) </SPAN>\n" );
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