document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997501>Question 997501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the line <BR>\n" );
document.write( "2x-5y= &#8722;1\r<BR>\n" );
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document.write( "What is the slope of a line parallel to this line?\r<BR>\n" );
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document.write( "What is the slope of a line perpendicular to this line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615544 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=615544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to answer these questions, convert the eqation of the line to y = mx + b format.<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "the equation is 2x - 5y = -1<BR>\n" );
document.write( "subtract 2x from both sides of this equation to get -5y = -2x - 1<BR>\n" );
document.write( "divide both sides of this equation by -5 to get:<BR>\n" );
document.write( "y = -2/-5 * x - 1/-5<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "y = 2/5 * x - (-1/5)<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "y = 2/5 * x + 1/5<BR>\n" );
document.write( "the slope is 2/5.<BR>\n" );
document.write( "a line that is parallel to this line will have the same slope and a different y-intercept.<BR>\n" );
document.write( "a line that is perpendicular to this line will have a slope that is a negative reciprocal of this line.<BR>\n" );
document.write( "that line will have a slope of -5/2.\r<BR>\n" );
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document.write( "the following graph shows you the relationship between three lines.<BR>\n" );
document.write( "the first line is y = 2/5 * x - 1/5<BR>\n" );
document.write( "the second line is y = -2/5 * x - 1/5<BR>\n" );
document.write( "the third line is y = -2/5 * x + 1/5\r<BR>\n" );
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document.write( "the second and third lines are both perpendicular to the first line because their slopes are negative reciprocals of the slope of the first line.\r<BR>\n" );
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document.write( "the second line will intersect with the first line on the y-axis because their y-intercepts are the same.\r<BR>\n" );
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document.write( "the third line will intersect with the first line at a different point because their y-intercepts are different.\r<BR>\n" );
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document.write( "the second line will be parallel to the third line because they are both perpendicular to the same line.\r<BR>\n" );
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document.write( "shown below is the graph of the 3 lines.\r<BR>\n" );
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document.write( "the red line is the first line.<BR>\n" );
document.write( "the blue line is the second line.<BR>\n" );
document.write( "the green line is the third line.\r<BR>\n" );
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document.write( "the y-intercepts of each line is shown.\r<BR>\n" );
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document.write( "the blue line and the red line have the same y-intercept.<BR>\n" );
document.write( "that is why they intersect at the y-intercept of each line.\r<BR>\n" );
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document.write( "the green line has a different y-intercept.<BR>\n" );
document.write( "that is why it intersects with the red line at a different point on the graph.\r<BR>\n" );
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document.write( "the blue line will never intersect with the green line because they are parallel to each other (they have the same slope).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/101902.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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