document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78796>Question 78796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,I need some help with some slope-intercept problems,and thanks to whoever helps me,Write an equation in slope-intercept form of a line with the following characteristics:parallel to the graph of:x+y=6 and passes through (1,-4).Next one is,Write an equation in slope-intercept form of a line with the following characteristics:perpendicular to the graph of:2x-3y=12 and passes through (4,3).The next one is,Write an equation in the slope-intercept form of a line with the following characteristics:Perpendicular to the graph of :y=3/2 x-3 with ay- intercept of 5.And the last one is,Write an equation in the slope-intercept form of a line with the following characteristics:parallel to the graph of:-4x+3y=12 and passes through the origin.Thanks to whoever can help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56543 by </B><A HREF=/tutors/aboutme.mpl?userid=mathdoc314><B>mathdoc314(58)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathdoc314><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "There are several questions here.  I will answer the first one and ask you to post the rest separately or solve them using the technique used in the first one.\r<BR>\n" );
document.write( "\n" );
document.write( "Write an equation in slope-intercept form of a line with the following characteristics:parallel to the graph of:x+y=6 and passes through (1,-4)\r<BR>\n" );
document.write( "\n" );
document.write( "The slope-intercept form is:  y = mx + b   m is the slope, b is the intercept\r<BR>\n" );
document.write( "\n" );
document.write( "The graph of x+y=6 has slope -1 <BR>\n" );
document.write( "because y changes by -1 if x changes by 1<BR>\n" );
document.write( "or it is tilted like this:  \<BR>\n" );
document.write( "and the equation is: y = -1x + 6   slope is -1\r<BR>\n" );
document.write( "\n" );
document.write( "Your equation is y=-1x + b  because m is -1<BR>\n" );
document.write( "Parallel lines have the same slope.\r<BR>\n" );
document.write( "\n" );
document.write( "The point (1,-4) is on the line\r<BR>\n" );
document.write( "\n" );
document.write( "Plug in x=1, y = -4 and find b<BR>\n" );
document.write( "-4 = -1*1 + b<BR>\n" );
document.write( "-4 = -1 + b<BR>\n" );
document.write( "-3 = b<BR>\n" );
document.write( "b= -3\r<BR>\n" );
document.write( "\n" );
document.write( "m=-1 and b=-3<BR>\n" );
document.write( "y = -x -3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );