document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283026>Question 283026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the line containing the given pair of points and find the slope.<BR>\n" );
document.write( "(5,4),(-4,-3)<BR>\n" );
document.write( "graph it on a y is -10,10 graph and x is -10 an 10 graph.<BR>\n" );
document.write( " then find the slope- m= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205542 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=205542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The slope-intercept form is: y = mx+b, where m is the slope and b is the y-intercept (the point were x=0).<BR>\n" );
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document.write( "The slope is defined as the rise over the run, which is the change in 'y' divided by the change in 'x'.<BR>\n" );
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document.write( "m = (y<sub>2</sub>-y<sub>1</sub>)/x<sub>2</sub>-x<sub>1</sub>)<BR>\n" );
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document.write( "(x<sub>1</sub>,y<sub>1</sub>) = (5,4)<BR>\n" );
document.write( "(x<sub>2</sub>,y<sub>2</sub>) = (-4,-3)<BR>\n" );
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document.write( "m = (-3 -4)/(-4-5)<BR>\n" );
document.write( "m = -7/-9 = 7/9<BR>\n" );
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document.write( "y = 7/9x + b<BR>\n" );
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document.write( "Substitute what we know already to find 'b'.<BR>\n" );
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document.write( "For example, we know the point (5,4) is on the line.<BR>\n" );
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document.write( "4 = 7/9(5) + b<BR>\n" );
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document.write( "Multiply through by 9 to remove the fraction<BR>\n" );
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document.write( "36 = 7(5) + 9b<BR>\n" );
document.write( "36 = 35 + 9b<BR>\n" );
document.write( "1 = 9b<BR>\n" );
document.write( "9b = 1<BR>\n" );
document.write( "b = 1/9<BR>\n" );
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document.write( "Now we can find the x-intercept, which is the point where y=0.<BR>\n" );
document.write( "0 = 7/9x + 1/9<BR>\n" );
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document.write( "multiply through by 9<BR>\n" );
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document.write( "9(0) = 7x + 1<BR>\n" );
document.write( "0 = 7x + 1<BR>\n" );
document.write( "x = -1/7<BR>\n" );
document.write( "(-1/7,0)<BR>\n" );
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document.write( "So, to summarize:<BR>\n" );
document.write( "Equation is:  y = 7/9x + 1/9<BR>\n" );
document.write( "y-intercept is:  (0, 1/9)<BR>\n" );
document.write( "x-intercept is:  (-1/7, 0)<BR>\n" );
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document.write( "Graphing it helps confirm your work.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-6%2C6%2C-6%2C6%2C7%2F9%2Ax%2B1%2F9%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-6%2C6%2C-6%2C6%2C7%2F9%2Ax%2B1%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Done </SPAN>\n" );
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