document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206470>Question 1206470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the slope of a line that is perpendicular to the y-axis and passes through the point(-7,8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843978 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=843978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a line parallel to the x-axis has the form y = k.<BR>\n" );
document.write( "a line parallel to the y-axis has the form x = k.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a line is formed by two points.<BR>\n" );
document.write( "the points are (x1,y1) and (x2,y2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the slope of the line is equal to (y2 - y1) / (x2 - x1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the line is parallel to the x-axis, then y2 = y1 and the slope becomes 0 / (x1 - x1) = 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the line is parallel to the y-axis, then x2 = x1 and the slope becomes (y2 - y1) / 0 which is undefined.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the slope is 0, the line is parallel to the x-axis.<BR>\n" );
document.write( "if the slope is undefined, the line is parallel to the y-axis.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the line is parallel to the x-axis, it is perpendicular to the y-axis.<BR>\n" );
document.write( "if the line is parallel to the y-axis, it is perpendicular to the x-axis.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your line is perpendicular to the y-axis which means it is parallel to the x-axis.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that means that y2 = y1 which means that the slope is 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation of your line is therefore y = 0x + b which becomes y = b, where b is the y-intersect.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the line passing through the point (-7,8) and perpendicular to the y-axis is the line y = 8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x can be any value and the y-value will always be 8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's the graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2024/031302.jpg\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can see that, no matter what the value of x is, y will always be 8.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can see that the line is parallel to the x-axis which makes it perpendicular to the y-axis.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the x-axis is a horizontal line at y = 0.<BR>\n" );
document.write( "the y-axis is a vertical line as x = 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );