document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254831>Question 254831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the linear equation given the following information:\r<BR>\n" );
document.write( "\n" );
document.write( "y-intercept = -1 and the line decreases by 3 when x increases by 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187143 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=mx+b<BR>\n" );
document.write( "b is the y intercept<BR>\n" );
document.write( "line decreases by 3 when x increases by one is the slope<BR>\n" );
document.write( "-3/1=3<BR>\n" );
document.write( "m=slope=-3 and  b=-1<BR>\n" );
document.write( "y=3x-1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy=-3x-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy=-3x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "3x+y+1=0 \r<BR>\n" );
document.write( "\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
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+=+-1 ALIGN=MIDDLE  ALT=\"3+x+%2B+1+y+=+-1\"   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%2F1 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-3%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. -1/3 = -0.333333333333333.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -1/1 = -1.</LI><LI>Slope is -3/1 = -3.</LI><LI> Equation in slope-intercept form: y=-3*x+-1.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-0.333333333333333-8%2C+-0.333333333333333%2B8%2C+-1-8%2C+-1%2B8%2C+-3%2Ax%2B-1+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );