document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761648>Question 761648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the line with slope 3  passing through the point  (-2,-2)<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 #463423 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=463423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A linear equation can be expressed in the form y = mx + c where m is the slope and c is the y intercept (the value of y when x = 0, or the point where the line intersects the y axis)\r<BR>\n" );
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document.write( "Here, we know the slope m(3) and one instance of x and y (-2,-2). We don't know c.\r<BR>\n" );
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document.write( "By substituting for m,x and y we have\r<BR>\n" );
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document.write( "-2 = -2*3 + c\r<BR>\n" );
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document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+4 ALIGN=MIDDLE  ALT=\"c+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the line's equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x+%2B+4 ALIGN=MIDDLE  ALT=\"y+=+3x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+y+=+-4 ALIGN=MIDDLE  ALT=\"3x+-+y+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "See the graph 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=3+x+%2B+-1+y+=+-4 ALIGN=MIDDLE  ALT=\"3+x+%2B+-1+y+=+-4\"   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+=+-3%2F-1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-3%2F-1\"   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. -4/3 = -1.33333333333333.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -4/-1 = 4.</LI><LI>Slope is -3/-1 = 3.</LI><LI> Equation in slope-intercept form: y=3*x+4.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-1.33333333333333-8%2C+-1.33333333333333%2B8%2C+4-8%2C+4%2B8%2C+3%2Ax%2B4+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
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