document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977443>Question 977443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given conditions to write an equation for each line in point-slope form. \r<BR>\n" );
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document.write( "Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598969 by </B><A HREF=/tutors/aboutme.mpl?userid=anand429><B>anand429(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=anand429><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=anand429><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let required line be of form y = mx+c (slope-intercept form)<BR>\n" );
document.write( "Since it is perpendicular to y = 1/5 x + 6<BR>\n" );
document.write( "So, product of slopes = -1 (for two perpendicular lines m1 * m2 = -1)<BR>\n" );
document.write( "So m * (1/5) = -1<BR>\n" );
document.write( "=> m=-5<BR>\n" );
document.write( "So our line becomes,<BR>\n" );
document.write( "y = -5x + c<BR>\n" );
document.write( "Now, this line passes through (2,-3)  (As per ques.)<BR>\n" );
document.write( "So putting the coordinates in above equation,<BR>\n" );
document.write( "-3 = -5*2 +c<BR>\n" );
document.write( "=> c = 7<BR>\n" );
document.write( "So our line becomes,<BR>\n" );
document.write( "y = -5x + 7.\r<BR>\n" );
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document.write( "Alternate method (Point slope form)<BR>\n" );
document.write( "Using standard point-slope form and the condition that our line passes through (2,-3),we can write,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-%28-3%29%29%2F%28x-2%29+=+m ALIGN=MIDDLE  ALT=\"%28y-%28-3%29%29%2F%28x-2%29+=+m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now , we have already found m as in previous solution as m=-5<BR>\n" );
document.write( "So, our line is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-%28-3%29%29%2F%28x-2%29+=+-5 ALIGN=MIDDLE  ALT=\"%28y-%28-3%29%29%2F%28x-2%29+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B3%29%2F%28x-2%29+=+-5 ALIGN=MIDDLE  ALT=\"%28y%2B3%29%2F%28x-2%29+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (Ans. in point slope form) </SPAN>\n" );
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