document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675290>Question 675290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that is perpendicular to y=-7/5x+10 and passes through (2,1). write in slope intercept form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419704 by </B><A HREF=/tutors/aboutme.mpl?userid=khurshidi><B>khurshidi(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khurshidi><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=khurshidi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=419704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line that is perpendicular to y=-7/5x+10 and passes through (2,1). write in slope intercept form.\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "Given line         <BR>\n" );
document.write( "y = -7/5x  + 10\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "7/5x + y -10 = 0\r<BR>\n" );
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document.write( "Slope of given line\r<BR>\n" );
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document.write( "m1 = -coefficient of x / coefficient of y\r<BR>\n" );
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document.write( "coefficien of x = 7/5, coefficient of y = 1\r<BR>\n" );
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document.write( "so\r<BR>\n" );
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document.write( "m1 = -7/5\r<BR>\n" );
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document.write( "since the required line is perpendicular of the given line.\r<BR>\n" );
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document.write( "then the slope of required line will be\r<BR>\n" );
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document.write( "m2 = -1/m1\r<BR>\n" );
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document.write( "i.e.\r<BR>\n" );
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document.write( "m2 = -1/-7/5\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "m2 = 5/7\r<BR>\n" );
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document.write( "since the line passes through (2, 1) = (x1, y1)\r<BR>\n" );
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document.write( "therefore the required line will be\r<BR>\n" );
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document.write( "y - y1 = m2(x - x1)\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "y - 1 = 5/7(x - 2)\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "y - 1 = 5/7x - 10/7\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "y = 5/7x - 10/7 + 1\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "y = 5/7x - 3/7\r<BR>\n" );
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document.write( "This is the required equation of the perpendicular line passes through (2, 1)<BR>\n" );
document.write( "in slope-intercept form (y = mx + b). </SPAN>\n" );
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