document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167851>Question 1167851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the slope-intercept form of the equation of a line that passes through<BR>\n" );
document.write( "(5,-4) and has a slope of '3/4'? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792460 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the slope intercept form of the equation of a straight line is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = mx + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if your know the slope, then just replace m with it and solve for b by replacing x and y in the equation with the value of one of the points.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in your problem, m = 3/4 and the point that it goes through is (x,y) = (5,-4)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "replace m with 3/4 and replace x with 5 and y with -4 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = mx + b becomes -4 = 3/4 * 5 + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-4 = 3.75 + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 3.75 from both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-4 - 3.75 = b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for b to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b = -7.75\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 3/4 * x - 7.7 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the graph of the equation looks like this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/102102.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can see that the y-intercept (the value of y when x = 0) is -7.75 and that the graph of the equation goes through the point (x,y) = (5,-4).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );