document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163280>Question 163280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the x-intercept and y-intercept of a linear equation?<BR>\n" );
document.write( "(ii) What are their coordinates on a graph? <BR>\n" );
document.write( "Coordinates are the points through which line passes.\r<BR>\n" );
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document.write( "(iii) How can they be used to graph a line? <BR>\n" );
document.write( "If we are given 2 coordinates of the line, locate the two points. A line joining these two points will be required line.\r<BR>\n" );
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document.write( "iv)Demonstrate by determining the intercepts of \"14x + 7y = 21\".<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120310 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=120310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the x-intercept and y-intercept of a linear equation?<BR>\n" );
document.write( "An intercept is the point where a line intersects and axis. x intercept is on the x axis; y intercept is on the y axis.<BR>\n" );
document.write( "(ii) What are their coordinates on a graph? <BR>\n" );
document.write( "The coordinates are in the form (x,0) for x intercept and (0,y) for y intercept.\r<BR>\n" );
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document.write( "Coordinates are the points through which line passes.<BR>\n" );
document.write( "(iii) How can they be used to graph a line? <BR>\n" );
document.write( "Any line can be defined and drawn if you know any two points on that line. Assuming a line have both an x and a y intercept, then you have two points. So you can use those two points to draw the line. \r<BR>\n" );
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document.write( "If we are given 2 coordinates of the line, locate the two points. A line joining these two points will be required line.\r<BR>\n" );
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document.write( "iv)Demonstrate by determining the intercepts of \"14x + 7y = 21\".<BR>\n" );
document.write( "Set x =0 and solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2A0+%2B+7y+=+21 ALIGN=MIDDLE  ALT=\"14%2A0+%2B+7y+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7y+=+21 ALIGN=MIDDLE  ALT=\"7y+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so the y intercept is the point (0,3)\r<BR>\n" );
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document.write( "Set y=0 and solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x+%2B+7%2A0+=+21 ALIGN=MIDDLE  ALT=\"14x+%2B+7%2A0+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14x+=+21 ALIGN=MIDDLE  ALT=\"14x+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the x intercept is the point (3/2, 0)\r<BR>\n" );
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document.write( "Now plot those two points and draw the line that includes them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C+-5%2C+5%2C+-5%2C+5%2C+-2x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C+-5%2C+5%2C+-5%2C+5%2C+-2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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