document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148583>Question 148583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for each line discrbed find an equation of the line in slope intercept form and in standard form.\r<BR>\n" );
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document.write( "through (4,-2)and perpendiculap to the line (3,7) and (5,6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108931 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> through (4,-2):\r<BR>\n" );
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document.write( "y=mx+b becomes<BR>\n" );
document.write( "-2=m4+b\r<BR>\n" );
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document.write( "perpendicular to the line (3,7) and (5,6):<BR>\n" );
document.write( "Find the slope of the goes that goes through (3,7) and (5,6) by putting the difference of the y's over the differences of the x's\r<BR>\n" );
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document.write( "7-6/3-5\r<BR>\n" );
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document.write( "Simplify that and get \r<BR>\n" );
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document.write( "1/-2\r<BR>\n" );
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document.write( "Now flip it\r<BR>\n" );
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document.write( "-2/1\r<BR>\n" );
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document.write( "Now multiply it by -1\r<BR>\n" );
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document.write( "2/1\r<BR>\n" );
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document.write( "This is the slope you want for the equation.  Plug it in\r<BR>\n" );
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document.write( "y=mx+b becomes<BR>\n" );
document.write( "-2=m4+b becomes<BR>\n" );
document.write( "-2=2(4)+b\r<BR>\n" );
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document.write( "Now solve for b.  First simplify 2(4)\r<BR>\n" );
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document.write( "-2=8+b\r<BR>\n" );
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document.write( "Now subtract 8 from both sides\r<BR>\n" );
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document.write( "-10=b\r<BR>\n" );
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document.write( "Now set the equation up without the x and y coordinates:\r<BR>\n" );
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document.write( "y=mx+b becomes<BR>\n" );
document.write( "y=2x-10----------------this is your answer in slope intercept form\r<BR>\n" );
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document.write( "To change it to standard form, move the x over to the other side.<BR>\n" );
document.write( "y-2x=-10<BR>\n" );
document.write( "or -2x+y=10\r<BR>\n" );
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document.write( "Slope-intercept: y=2x-10<BR>\n" );
document.write( "Standard: -2x+y=10\r<BR>\n" );
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document.write( "Graph:<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+x+%2B+1+y+=+-10 ALIGN=MIDDLE  ALT=\"-2+x+%2B+1+y+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+--2%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+--2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. -10/-2 = 5.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -10/1 = -10.</LI><LI>Slope is --2/1 = 2.</LI><LI> Equation in slope-intercept form: y=2*x+-10.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+5-8%2C+5%2B8%2C+-10-8%2C+-10%2B8%2C+2%2Ax%2B-10+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+5-8%2C+5%2B8%2C+-10-8%2C+-10%2B8%2C+2%2Ax%2B-10+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( " </SPAN>\n" );
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