document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203694>Question 1203694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the line whose x-intercept is -2 and whose y-intercept is -6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839468 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=839468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the slope intercept formula for a straight line is y = mx + b.<BR>\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( "the formula for the slope is given as (y2 - y1) / (x2 - x1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "any two points on the line can be used.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the x-intercept is the value of x when y = 0.<BR>\n" );
document.write( "you are given that the x-intercept is -2.<BR>\n" );
document.write( "that means the point is (-2,0).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the y-intercept is the value of y when x = 0.<BR>\n" );
document.write( "you are given that the y-intercept is -6.<BR>\n" );
document.write( "that means the point is (0,-6).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your two poinjts are (-2,0) and (0,-6).<BR>\n" );
document.write( "assign one of them to (x1,y1) and the other to (x2,y2).<BR>\n" );
document.write( "either of the points can be assigned to either one of the constructs.<BR>\n" );
document.write( "it doesn't matter.<BR>\n" );
document.write( "the slope will be the same.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i'll assign two ways to show you what i mean.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "first, i assigned (-2,0) to (x1,y1) and (0,-6) to (x2,y2)<BR>\n" );
document.write( "slope = (y2-y1)/(x2-x1) = -6/2 = -3<BR>\n" );
document.write( "next, i assigned (0,-6) to (x1,y1) and (-2,0) to (x2,y2)<BR>\n" );
document.write( "slope = (y2-y1)/(x2-x1) = 6/-1 = -3<BR>\n" );
document.write( "slope is -3 either way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the slope is -3.<BR>\n" );
document.write( "y = mx + b becomes y = -3x + b\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to find the y-intercept, you need to replac4e x and y with any one of the points on the line and solve for b.<BR>\n" );
document.write( "again, i'll do it using each point in turn.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "first i used the point (0,-6).<BR>\n" );
document.write( "y = -3x + b becomes -6 = -3 * 0 + b which becomes -6 = b.<BR>\n" );
document.write( "solve for b to get b = -6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "next i used the point (-2,0).<BR>\n" );
document.write( "y = -3x + b becomes 0 = -3 * -2 + b which becomes 0 = 6 * b.<BR>\n" );
document.write( "solve for b to get b = -6.<BR>\n" );
document.write( "y-intercept is -6 either way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation becomes y = -3 * x - 6<BR>\n" );
document.write( "the equation can be graphed as shown below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/091701.jpg\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );