document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=10213>Question 10213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y=3/4x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5470 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=5470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This equation is a straight line in slope intercept form.  The y-intercept is the point (0,0), and the slope m= 3/4.  Draw the graph by starting with the first point at (0,0).  Then from this point go up 3 units, go right 4 units, and put another point.  Connect the points and continue the line in both directions.  Compare it to the graph below:\r<BR>\n" );
document.write( "<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+-4+y+=+0 ALIGN=MIDDLE  ALT=\"3+x+%2B+-4+y+=+0\"   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-4 ALIGN=MIDDLE  ALT=\"-a%2Fb+=+-3%2F-4\"   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. 0/3 = 0.</LI><LI>Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 0/-4 = 0.</LI><LI>Slope is -3/-4 = 0.75.</LI><LI> Equation in slope-intercept form: y=0.75*x+0.</LI></UL><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+0-8%2C+0%2B8%2C+0-8%2C+0%2B8%2C+0.75%2Ax%2B0+%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+0-8%2C+0%2B8%2C+0-8%2C+0%2B8%2C+0.75%2Ax%2B0+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\n" );
document.write( "</TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );