document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452261>Question 452261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line containing the given point and perpendicular to the given line.\r<BR>\n" );
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document.write( "(5,-2); 5x + 4y = 9\r<BR>\n" );
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document.write( "The equation of the line is y=_______________<BR>\n" );
document.write( "(Type your answer in the form y = mx + b. Simplify your answer. Type an integer or a fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310924 by </B><A HREF=/tutors/aboutme.mpl?userid=confusedgirl81><B>confusedgirl81(14)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=confusedgirl81><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/cgi-bin/show-face.mpl?user=confusedgirl81><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (5,-2); 5x + 4y = 9<BR>\n" );
document.write( "We have to put this equation in slope-intercept form.\r<BR>\n" );
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document.write( "First subtract subtract 5x from both sides<BR>\n" );
document.write( "4y = -5x + 9<BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "y = -5/4x + 9/4\r<BR>\n" );
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document.write( "You can see m = -5/4. This is the slope.\r<BR>\n" );
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document.write( "For a line to be perpendicular to the above line, they must have a slope of 4/5, (the exact opposite of above).<BR>\n" );
document.write( "Now we will use the given point (5,-2) and the slope 4/5 to write the point-slope formula.<BR>\n" );
document.write( "y - (y1) = m(x - x1)<BR>\n" );
document.write( "Since we know -2 = y1, 5 = x1, and 4/5 = m. Substitute it in.<BR>\n" );
document.write( "y - (-2) = 4/5(x - (5))<BR>\n" );
document.write( "y + 2 = 4/5(x - 5)<BR>\n" );
document.write( "substitute<BR>\n" );
document.write( "4(x - 5) = 5(y + 2) <BR>\n" );
document.write( "Use the Distributive Property.<BR>\n" );
document.write( "4x - 20 = 5y + 10<BR>\n" );
document.write( "Write the equation in general form<BR>\n" );
document.write( "5y = 4x - 30<BR>\n" );
document.write( "Divide 5 from both sides<BR>\n" );
document.write( "y = 4/5x - 30/5<BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "y = 4/5x - 6\r<BR>\n" );
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document.write( "y = -5/4x + 9/4 is parallel to y = 4/5x - 6\r<BR>\n" );
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document.write( "If you need more help, just ask!  </SPAN>\n" );
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