document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460008>Question 460008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the slope-intercept equation for the line that passes through (14, -2) and is perpendicular to 7x - 10y = 18 please show all of your work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315502 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=315502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line perpendicular to another line with have negative inverse slope.<BR>\n" );
document.write( "The define original line is<BR>\n" );
document.write( "7x - 10y = 18<BR>\n" );
document.write( "Subtract 7x from both sides<BR>\n" );
document.write( "-10y = -7x + 18<BR>\n" );
document.write( "Divide both sides by -10<BR>\n" );
document.write( "y = 7/10*x -18/10<BR>\n" );
document.write( "This equation is in slope-intercept format<BR>\n" );
document.write( "y = mx +b<BR>\n" );
document.write( "m = 7/10<BR>\n" );
document.write( "So, the perpendicular line will have slope<BR>\n" );
document.write( "-10/7<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = -10/7*x + b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You need the line to go through the point (14,-2).<BR>\n" );
document.write( "That means when x=14, y=-2<BR>\n" );
document.write( "Substitute<BR>\n" );
document.write( "that with what we already know<BR>\n" );
document.write( "-2 = -10/7*(14) + b<BR>\n" );
document.write( "We can cancel the 14 with the 7<BR>\n" );
document.write( "-2 = -10(2) + b<BR>\n" );
document.write( "-2 = -20 + b<BR>\n" );
document.write( "Add 20 to both sides<BR>\n" );
document.write( "18 = b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = -10/7*x + 18<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Always check your answer, so substitute x=14 and see what value of y you get.<BR>\n" );
document.write( "y = -10/7*14 + 18<BR>\n" );
document.write( "y = -20 + 18<BR>\n" );
document.write( "y = -2<BR>\n" );
document.write( "That's right.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A graph is always helpful.  In this case, graph both equations to see if they're perpendicular by visual inspection (of course, you KNOW they're perpendicular because of the slopes)...<BR>\n" );
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