document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181493>Question 1181493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form equation of the line that is perpendicular to <BR>\n" );
document.write( "6x - 7y - 1 = 0 and passes through (0, -2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811392 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13216)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Especially if you are just learning basic algebra, you should understand how to solve the problem as shown by the other tutor:<br><BR>\n" );
document.write( "determine the slope of the given line;<BR>\n" );
document.write( "determine the slope of the line perpendicular to the given line; and<BR>\n" );
document.write( "find the equation of the line with that slope passing through the given point.<br><BR>\n" );
document.write( "Here is a more advanced method that is faster and easier.<br><BR>\n" );
document.write( "Any line parallel to the given line 6x-7y-1=0 will have an equation in standard form of 6x-7y+C=0, where C can be any constant  (the coefficients of x and y will be the same as in the given equation).<br><BR>\n" );
document.write( "Any line perpendicular to the given line 6x-7y-1=0 will have an equation in standard form of 7x+6y+D=0, where again D is some constant.  Note to get that form, the coefficients of x and y switch places, and one of them changes sign.<br><BR>\n" );
document.write( "Use that form and the given point (0,-2) to determine the constant.<br><BR>\n" );
document.write( "7(x)+6(y)+D=0<BR>\n" );
document.write( "7(0)+6(-2)+D=0<BR>\n" );
document.write( "-12+D=0<BR>\n" );
document.write( "D=12<br><BR>\n" );
document.write( "ANSWER: 7x+6y+12=0<br><BR>\n" );
document.write( " </SPAN>\n" );
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