document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102449>Question 102449</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028348176/algebrahomeworkh>glencoe geometry concepts and applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line satisfying the given conditions: perpendicular to the graph of y + 6 = -1 / 3x and passes through the point at (-4, -5).\r<BR>\n" );
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document.write( "Find the equation of the line satisfying the given conditions: parallel to the x-axos and passes through the point (-5, -3).\r<BR>\n" );
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document.write( "Use slope to show that (triangle symble)ABC with vertices A(0,2), B(2,3) and C(1,5) is a right triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74478 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=74478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line satisfying the given conditions: perpendicular to the graph of y + 6 = (-1/3)x and passes through the point at (-4, -5).<BR>\n" );
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document.write( "The given line has a slope of -1/3; so every perpendicular line must<BR>\n" );
document.write( "have a slope of +3<BR>\n" );
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document.write( "The equation you want is y = mx+b; you need to find m and b.<BR>\n" );
document.write( "m= + 3<BR>\n" );
document.write( "-5 = 3(-4)+ b<BR>\n" );
document.write( "-5 = -12 + b<BR>\n" );
document.write( "b = 7<BR>\n" );
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document.write( "Equation is y = 3x+7<BR>\n" );
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document.write( "Find the equation of the line satisfying the given conditions: parallel to the x-axis and passes through the point (-5, -3).<BR>\n" );
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document.write( "Parallel to the x-axis means the slope = zero<BR>\n" );
document.write( "Passing thru (-5,-3) means<BR>\n" );
document.write( "-3 = 0(-5)+ b<BR>\n" );
document.write( "b = -3<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y = -3<BR>\n" );
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document.write( "Use slope to show that (triangle symbol)ABC with vertices A(0,2), B(2,3) and C(1,5) is a right triangle.<BR>\n" );
document.write( "Check the slope of each side:<BR>\n" );
document.write( "slope of AB: [3-2]/[2-0] = 1/2<BR>\n" );
document.write( "slope of AC: [5-2]/[1-0] = 3<BR>\n" );
document.write( "slope of BC: [5-3]/[1-2] = -2<BR>\n" );
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document.write( "AB and BC are perpendicular and therefore form a right triangle at B.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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