document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957359>Question 957359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two perpendicular lines intersect at J(-3,-3). one line is given by the equation y=7/4x - 9/4 .<BR>\n" );
document.write( "Determine the equation of the other line in point-slope form and in slope-intercept form.\r<BR>\n" );
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document.write( "Please Kindly help me, I'm stuck ! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584999 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=584999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope of perpendicular line is equal to negative reciprocal of slope of the line that it is perpendicular to.\r<BR>\n" );
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document.write( "7/4 becomes -4/7\r<BR>\n" );
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document.write( "slope intercept form of the equation is y = mx + b\r<BR>\n" );
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document.write( "replace m with -4/7 and you get:\r<BR>\n" );
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document.write( "y = -4/7 * x + b\r<BR>\n" );
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document.write( "point that the line goes through is (-3,-3)\r<BR>\n" );
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document.write( "point slope form of the equation is y - y1 = m * (x - x1)\r<BR>\n" );
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document.write( "replace m with -4/7 and replace y1 with -3 and replace x with -3 and you get:\r<BR>\n" );
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document.write( "y + 3 = -4/7 * (x + 3).\r<BR>\n" );
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document.write( "convert this equation to slope intercept form and you get:\r<BR>\n" );
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document.write( "y = -4/7 * x - 33/7\r<BR>\n" );
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document.write( "the equations of your original line and the line perpendicular to it are:\r<BR>\n" );
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document.write( "y = 7/4 * x - 9/4\r<BR>\n" );
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document.write( "y = -4/7 * x + 9/7\r<BR>\n" );
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document.write( "when you graph these equations, you will see that they do ***** NOT ***** intersect at the point (-3,-3). \r<BR>\n" );
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document.write( "the reason is because the equation of your original line is not correct.\r<BR>\n" );
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document.write( "you show it as y = 7/4 * x - 9/4.\r<BR>\n" );
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document.write( "it should have been y = 7/4 * x + 9/4. \r<BR>\n" );
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document.write( "a slight error that makes all the difference in the world.\r<BR>\n" );
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document.write( "you can see this on the graph.\r<BR>\n" );
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document.write( "the dashed line is your original equation of y = 7/4 * x - 9/4\r<BR>\n" );
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document.write( "the solid black lines are the correct equations.\r<BR>\n" );
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document.write( "y = 7/4 * x + 9/4 is what should have been the original equation and y = -4/7 * x + -33/7 is the equation of the line perpendicular to it.\r<BR>\n" );
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document.write( "how do you tell which line is which on the graph?\r<BR>\n" );
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document.write( "you look for the y-intercept point and the general direction of the line.\r<BR>\n" );
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document.write( "the line of y = 7/4 * x + 9/4 slopes up from left to right and crosses the y-axis at y = 9/4 which is equivalent to y = 2.25.\r<BR>\n" );
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document.write( "the line of y = -4/7 * x - 33/7 slopes down from left to right and crosses the y-axis at y = -33/7 which is equivalent to y = -4.714.\r<BR>\n" );
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document.write( "your original equation of y = 7/4 * x - 9/4 slopes upward from left to right and is crossing the y-axis at y = -9/4 which is equivalent to y = -2.25.\r<BR>\n" );
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document.write( "here's the graph:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/032101.jpg\" alt = \"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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