document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147615>Question 1147615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation for line j can be written as y=2x + 8. Another like k is perpendicular to line j and passes through the point (6,-6). Choose the equation for like k\r<BR>\n" );
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document.write( "A. Y= 1/2x-3<BR>\n" );
document.write( "B. Y= -1/2x-3<BR>\n" );
document.write( "C. Y=-2x-3<BR>\n" );
document.write( "D. Y=-3/2x + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768953 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> formula for line j is y = 2x + 8<BR>\n" );
document.write( "line k is perpendicular to line j.<BR>\n" );
document.write( "it will therefore have a slope that is a negative reciprocal to the slope of line j.<BR>\n" );
document.write( "the general formula for line k is therefore y = -1/2 * x + b<BR>\n" );
document.write( "since line k passes through the point (6,-6), then use that point to find the value of b.<BR>\n" );
document.write( "replace x with 6 and y with -6 in the equation of y = -1/2 * x + b to get:<BR>\n" );
document.write( "-6 = -1/2 * 6 + b<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "-6 = -3 + b<BR>\n" );
document.write( "solve for b to get:<BR>\n" );
document.write( "b = -6 + 3 = -3<BR>\n" );
document.write( "the equation of line k is therefore y = -1/2 * x - 3<BR>\n" );
document.write( "here's the graph.you can see that the point (6,-6) is on that line, as well as see that the lines do indeed look perpendicular to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/102502.jpg\" alt=\"$$$\" ><BR>\n" );
document.write( "line j is the red line.<BR>\n" );
document.write( "line k is the blue line.<BR>\n" );
document.write( "y-intercept for line j is 8, as it should be.<BR>\n" );
document.write( "y-intercept for line k is -3, as it should be.<BR>\n" );
document.write( "intersection of line j and k is at the point (-4.4,-.8)<BR>\n" );
document.write( "line k passes through the point (6,-6), as it should.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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