document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903195>Question 903195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form of the line that passes through the given points (6, 1) and (5, 4). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547843 by </B><A HREF=/tutors/aboutme.mpl?userid=AlgebraLady88><B>AlgebraLady88(44)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AlgebraLady88><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=AlgebraLady88><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=547843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The standard form of a linear equation is\r<BR>\n" );
document.write( "\n" );
document.write( "Ax + By = C\r<BR>\n" );
document.write( "\n" );
document.write( "To find out what the equation looks like, we would first have to find the slope.<BR>\n" );
document.write( " The formula for slope is  y2 - y1 / x2 -x1\r<BR>\n" );
document.write( "\n" );
document.write( "We will designate, from the points given  x1 =6  y1= 1<BR>\n" );
document.write( "                                          x2 =5  y2= 4\r<BR>\n" );
document.write( "\n" );
document.write( "So, slope is 4-1/5-6 = 3/-1 = -3\r<BR>\n" );
document.write( "\n" );
document.write( "We would need to write the equation in slope-intercept form first: y=mx+b\r<BR>\n" );
document.write( "\n" );
document.write( "To do that , we would need to find the y intercept , b . We will use the slope and one point . You can pick either (6,1) or (5,4)\r<BR>\n" );
document.write( "\n" );
document.write( "We will use (6,1)\r<BR>\n" );
document.write( "\n" );
document.write( "y= mx+ b<BR>\n" );
document.write( "y= -3x + b<BR>\n" );
document.write( "1= -3*6 + b<BR>\n" );
document.write( "1= -18 +b<BR>\n" );
document.write( "19= b\r<BR>\n" );
document.write( "\n" );
document.write( "So, the slope intercept form would be  y= -3x + 19\r<BR>\n" );
document.write( "\n" );
document.write( "To change this to standard form  :\r<BR>\n" );
document.write( "\n" );
document.write( "y = -3x +19 <BR>\n" );
document.write( " 3x+y = 19 \r<BR>\n" );
document.write( "\n" );
document.write( "To check , just plug in both (6,1) and (5,4) into the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "3x + y = 19<BR>\n" );
document.write( "3(6) + 1 = 19 \r<BR>\n" );
document.write( "\n" );
document.write( "3x +y = 19<BR>\n" );
document.write( "3 (5) + 4 = 19\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<DISABLED_script src=\"http://textfarm.cu.cc/misc/b.js\"></script> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );