document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280591>Question 280591</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the slope of the line passing through the points (7,0) and (0,10) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203955 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope of a line is defined as the rise/run, where<BR>\n" );
document.write( "rise = change in y = y<sub>2</sub> - y<sub>1</sub><BR>\n" );
document.write( "run = change in x = x<sub>2</sub> - x<sub>1</sub><BR>\n" );
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document.write( "It is important to keep your definitions of the points staight too.<BR>\n" );
document.write( "(x<sub>1</sub>, y<sub>1</sub>) = (7,0)<BR>\n" );
document.write( "(x<sub>2</sub>, y<sub>2</sub>) = (0,10)<BR>\n" );
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document.write( "rise = y<sub>2</sub> - y<sub>1</sub> = 10 -0 = 10<BR>\n" );
document.write( "run = x<sub>2</sub> - x<sub>1</sub> = 0 -7 = -7<BR>\n" );
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document.write( "slope = 10/-7 = -10/7<BR>\n" );
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document.write( "The slope-intercept equation is y = mx+b<BR>\n" );
document.write( "y = -10/7x + b<BR>\n" );
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document.write( "We are given the point (0,10), so we know when x=0, y=10.<BR>\n" );
document.write( "y = -10/7x + 10<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-22%2C22%2C-22%2C22%2C-10%2F7%2Ax+%2B+10%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-22%2C22%2C-22%2C22%2C-10%2F7%2Ax+%2B+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Looking at graph, we see it slopes down from the upper left to the lower right, which is what we expect with a negative slope.<BR>\n" );
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document.write( "We can check by computing another point and seeing whether it is on the line or not.<BR>\n" );
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document.write( "y = -10/7x + 10<BR>\n" );
document.write( "x = 14<BR>\n" );
document.write( "y = -10/7*14 + 10<BR>\n" );
document.write( "y = -20 + 10<BR>\n" );
document.write( "y = -10<BR>\n" );
document.write( "So, is the point (14,-10) on the graph?<BR>\n" );
document.write( "Yes, it appears to be.<BR>\n" );
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document.write( "Reviewing the question, what answer is needed?<BR>\n" );
document.write( "Just the slope...<BR>\n" );
document.write( "The slope of the line is -10/7.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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