document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158993>Question 158993</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i go about figuring out how to write an equation in slope-intercept form that satisfies each given condition and finding the slope when the x-intercept = 3 and the y-intercept = 2 and there is no slope given </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117112 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=117112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> knowing the x-intercept and the y-intercept give you 2 point from which you can calculate the slope.<BR>\n" );
document.write( "in your example, y-intercept = 2 means the point is (0,2) since the y-intercept is the y value when x value = 0.<BR>\n" );
document.write( "x-intercept = 3 means the point is (3,0) since the x-intercept is the x value when y = 0.<BR>\n" );
document.write( "now that you have 2 points, you can calculate the slope.<BR>\n" );
document.write( "slope-intercept formula is y = m*x + b where m is the slope and b is the y-intercept.<BR>\n" );
document.write( "your 2 data points are (x1,y1), and x2,y2) from which you can calculate the slope by using the following equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope+=+%28y2-y2%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"slope+=+%28y2-y2%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let (x2,y2) = (0,2)<BR>\n" );
document.write( "let (x1,y1) = (3,0)<BR>\n" );
document.write( "slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-0%29%2F%280-3%29 ALIGN=MIDDLE  ALT=\"%282-0%29%2F%280-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F-3 ALIGN=MIDDLE  ALT=\"2%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%282%2F3%29 ALIGN=MIDDLE  ALT=\"-%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "slope-intercept equation now becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F3%29%2Ax+%2B+b ALIGN=MIDDLE  ALT=\"y=-%282%2F3%29%2Ax+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now all you have to do is solve for b.<BR>\n" );
document.write( "to solve for b, use one of the points that are part of the line.<BR>\n" );
document.write( "we'll use (3,0) first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%282%2F3%29%2Ax+%2B+b ALIGN=MIDDLE  ALT=\"y+=+-%282%2F3%29%2Ax+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-%282%2F3%29%2A3+%2B+b ALIGN=MIDDLE  ALT=\"0+=+-%282%2F3%29%2A3+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-2+%2B+b ALIGN=MIDDLE  ALT=\"0+=+-2+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solving for b gets<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "full slope-intercept equation then looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F3%29%2Ax%2B2 ALIGN=MIDDLE  ALT=\"y=-%282%2F3%29%2Ax%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using this formula and substituting for values using the other point of (0,2) gets <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-%282%2F3%29%2A%280%29+%2B+2 ALIGN=MIDDLE  ALT=\"2+=+-%282%2F3%29%2A%280%29+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes 2 = 2 which is an identity proving the formula is correct.<BR>\n" );
document.write( "using this formula and substituting for values using the first point used of (3,0) gets <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-%282%2F3%29%2A3+%2B+2 ALIGN=MIDDLE  ALT=\"0+=+-%282%2F3%29%2A3+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-2%2Ax+%2B+2 ALIGN=MIDDLE  ALT=\"0+=+-2%2Ax+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes 0 = 0 which is an identify proving the formula is correct.<BR>\n" );
document.write( "the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F3%29%2Ax%2B2 ALIGN=MIDDLE  ALT=\"y=-%282%2F3%29%2Ax%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );