document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083363>Question 1083363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how this is done, I want to be able to do this without help\r<BR>\n" );
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document.write( "Write an equation in&#8203; slope-intercept form of the line satisfying the following conditions through &#8203;(6&#8203;,9&#8203;); perpendicular to x=5\r<BR>\n" );
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document.write( "The equation of the line ______<BR>\n" );
document.write( "&#8203;(Type an equation. Type your answer in&#8203; slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify your&#8203; answer.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697352 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are given point (6, 9) and the line x = 5<BR>\n" );
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document.write( "the line x = 5 intersects the x axis at the point (5, 0) and is perpendicular to the x axis, here is the graph of x = 5<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+300%2C+300%2C+-10%2C+10%2C+-15%2C+15%2C%0D%0A++grid%28+1+%29%2C%0D%0A++green+%28line%28+5%2C+15%2C+5%2C+-15+%29%29%0D%0A%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the definition of slope is (change in y) / (change in x)<BR>\n" );
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document.write( "for our line x = 5, we see that every point on the line has an x value of 5 so our change in x is always 0 and division by 0 is indeterminate<BR>\n" );
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document.write( "a line which is perpendicular to a given line has a slope equal to the negative reciprocal of the given line<BR>\n" );
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document.write( "in our case that would be 0<BR>\n" );
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document.write( "a line perpendicular to x = 5 is a line where the y coordinate is fixed<BR>\n" );
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document.write( "in order for the line to go through the point (6, 9), we have y = 9<BR>\n" );
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document.write( "again looking at our definition of slope the difference in y coordinates is 0(9-9) and x value differences are not = to zero, therefore the slope is 0<BR>\n" );
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document.write( "here is a graph of y = 9 along with x = 5<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+300%2C+300%2C+-10%2C+10%2C+-15%2C+15%2C%0D%0A++grid%28+1+%29%2C%0D%0A++green+%28line%28+5%2C+15%2C+5%2C+-15+%29%29%2C%0D%0A++red+%28line%28+10%2C+9%2C+-10%2C+9+%29%29%0D%0A%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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