document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762581>Question 762581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write an equation in slope- intercept form that satisfies each given condition, if the condition is slope = -5, passes through (-3,-8)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464069 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=464069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation (in slope-intercept form) of a line with slope m and passing through (x1,y1) is\r<BR>\n" );
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document.write( "(y - y1) = m(x - x1)\r<BR>\n" );
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document.write( "Here, m = -5, x1 = -3, y1 = -8\r<BR>\n" );
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document.write( "Substituting the above, the equation for the line is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+%28-8%29%29+=+-5%28x+-+%28-3%29%29 ALIGN=MIDDLE  ALT=\"%28y+-+%28-8%29%29+=+-5%28x+-+%28-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplifying\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+8+=+-5%28x+%2B+3%29 ALIGN=MIDDLE  ALT=\"y+%2B+8+=+-5%28x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-5%2Ax+-23 ALIGN=MIDDLE  ALT=\"y+=+-5%2Ax+-23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "See the equation for the line below.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=describe_linear_equation.solver>DESCRIBE a linear EQUATION: slope, intercepts, etc</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+x+%2B+1+y+=+-23 ALIGN=MIDDLE  ALT=\"5+x+%2B+1+y+=+-23\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes a sloping line. For any <BR>\n" );
document.write( "  equation ax+by+c = 0, slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2Fb+=+-5%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-5%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<UL><LI>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. -23/5 = -4.6.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -23/1 = -23.</LI><LI>Slope is -5/1 = -5.</LI><LI> Equation in slope-intercept form: y=-5*x+-23.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-4.6-8%2C+-4.6%2B8%2C+-23-8%2C+-23%2B8%2C+-5%2Ax%2B-23+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-4.6-8%2C+-4.6%2B8%2C+-23-8%2C+-23%2B8%2C+-5%2Ax%2B-23+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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document.write( ":) </SPAN>\n" );
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