document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206892>Question 1206892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below. \r<BR>\n" );
document.write( "\n" );
document.write( "E (  -  2, 2), F (5, 1)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844595 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=844595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the points are (-2,2), (5,1)<BR>\n" );
document.write( "let x1,y1 = -2,2 and x2,y2 = 5,1<BR>\n" );
document.write( "slope = (y2-y1)/(x2-x1) = (1-2)/(5+2) = -1/7<BR>\n" );
document.write( "use one of the points to get the y-intercept.<BR>\n" );
document.write( "general slope intercept form equation is y = mx + b<BR>\n" );
document.write( "m is the slope<BR>\n" );
document.write( "b is the y-intercept<BR>\n" );
document.write( "when the slope is -1/7, equation becomes y = -1/7 * x + b<BR>\n" );
document.write( "use (5,1) coordinate and replace y with 1 and x with 5 to get:<BR>\n" );
document.write( "1 = -1/7 * 5 + b<BR>\n" );
document.write( "solve for b to get:<BR>\n" );
document.write( "b = 1 + 5/7 = 12/7<BR>\n" );
document.write( "equation becomes y = -1/7 * x + 12/7.<BR>\n" );
document.write( "that's the slope intercept form of the equation.<BR>\n" );
document.write( "to get the standard form, do the following:<BR>\n" );
document.write( "add -1/7 * x to both sides of the equation to get 1/7 * x + y = 12/7<BR>\n" );
document.write( "multiply both sides of the equation by 7 to get x + 7y = 12<BR>\n" );
document.write( "that's the standard form of the equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's the graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2024/041201.jpg\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "note that the standard form and the slope intercept form of the equation draw the same line.<BR>\n" );
document.write( "that's because they're equivalent.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the two speciied points are on the line.<BR>\n" );
document.write( "they are (-2,2) and (5,1)<BR>\n" );
document.write( "the slope intercept is (0,1.714) where 1.714 represents the fraction 12/7.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );