document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161909>Question 161909</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132402866/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> can somebody help me solve this problem.  i need to find the equation of the line with these characteristics. I need to express my answer  using either the general form or the slope-intercept form of the equation of the line.<BR>\n" );
document.write( " <BR>\n" );
document.write( "x-intercept=2; containing the point (4,-5)<BR>\n" );
document.write( "i forgot how to find the slope with only the, x-intercept = 2 given.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119330 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=119330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
document.write( ".<BR>\n" );
document.write( "can somebody help me solve this problem. i need to find the equation of the line with these characteristics. I need to express my answer using either the general form or the slope-intercept form of the equation of the line.<BR>\n" );
document.write( "x-intercept=2; containing the point (4,-5)<BR>\n" );
document.write( "i forgot how to find the slope with only the, x-intercept = 2 given.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The slope intercept form of the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+mx+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+mx+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where \"m\" is the slope, \"b\" is the y-intercept<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The x-intercept is the point where the line crosses the \"x\" axis<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x intercept is given as the point ( p, 0 ) where \"p\" is the \"x intercept number\", in our case, it would be ( 2,0 )<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now we have another point (2,0)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now that we have two points we can find the slope of the line<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The two points are (2,0) and (4, -5)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2,0)(x1,y1) and (4, -5)(x2,y2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The slope equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28+y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can replace the variables with numbers<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y2-y1%29%2F%28x2-x1%29+ ALIGN=MIDDLE  ALT=\"+%28+y2-y1%29%2F%28x2-x1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+%28-5%29-%280%29%29%2F%28%284%29-%282%29%29+ ALIGN=MIDDLE  ALT=\"+%28+%28-5%29-%280%29%29%2F%28%284%29-%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5%2F2+ ALIGN=MIDDLE  ALT=\"+-5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5%2F2+ ALIGN=MIDDLE  ALT=\"+-5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our slope intercept form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+mx+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+mx+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \"m\" is our slope, so we can replace \"m\" with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5%2F2+ ALIGN=MIDDLE  ALT=\"+-5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our equation is now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to find \"b\", we will replace \"x\" and \"y\" with one of our two points ( doesn't matter which one ) ( we will use point (2,0), replace \"x\" with \"2\", \"y\" with \"0\")<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2,0)(x,y) , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%280%29+=+%28-5%2F2%29%282%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+%280%29+=+%28-5%2F2%29%282%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28-5%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+0+=+%28-5%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will move (-5) to the left side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%28-5%29+%2B+b+ ALIGN=MIDDLE  ALT=\"+0+=+%28-5%29+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%2B+5+=+%28-5%29+%2B+5+%2B+b+ ALIGN=MIDDLE  ALT=\"+0+%2B+5+=+%28-5%29+%2B+5+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++5+=+b+ ALIGN=MIDDLE  ALT=\"++5+=+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+5+ ALIGN=MIDDLE  ALT=\"+b+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we found \"b\", we can replace \"b\" with \"5\" in the original equation<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+b+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+%285%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope intercept form of the equation, for the general equation, we will multiply each side by \"2\"<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%29y+=+%282%29%28%28-5%2F2%29x+%2B+5%29+ ALIGN=MIDDLE  ALT=\"+%282%29y+=+%282%29%28%28-5%2F2%29x+%2B+5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+%282%29%28-5%2F2%29x+%2B+%282%29%285%29+ ALIGN=MIDDLE  ALT=\"+2y+=+%282%29%28-5%2F2%29x+%2B+%282%29%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+%28-5%29x+%2B+10+ ALIGN=MIDDLE  ALT=\"+2y+=+%28-5%29x+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+-5x+%2B+10+ ALIGN=MIDDLE  ALT=\"+2y+=+-5x+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will move (-5x) to the left side<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+-5x+%2B+10+ ALIGN=MIDDLE  ALT=\"+2y+=+-5x+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+%2B+5x+=+-5x+%2B+5x+%2B+10+ ALIGN=MIDDLE  ALT=\"+2y+%2B+5x+=+-5x+%2B+5x+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+%2B+5x+=+10+ ALIGN=MIDDLE  ALT=\"+2y+%2B+5x+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, rearranging it becomes<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+%2B+5x+=+10+ ALIGN=MIDDLE  ALT=\"+2y+%2B+5x+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+%2B+2y+=+10+ ALIGN=MIDDLE  ALT=\"+5x+%2B+2y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+%2B+2y+=+10+ ALIGN=MIDDLE  ALT=\"+5x+%2B+2y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the general/standard form, we can check our equation by replacing \"x\" and \"y\" with both of our two points<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The two points are (2,0) and (4, -5)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(2,0)(x,y) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+%2B+2y+=+10+ ALIGN=MIDDLE  ALT=\"+5x+%2B+2y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%282%29+%2B+2%280%29+=+10+ ALIGN=MIDDLE  ALT=\"+5%282%29+%2B+2%280%29+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+%2B+0+=+10+ ALIGN=MIDDLE  ALT=\"+10+%2B+0+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+=+10+ ALIGN=MIDDLE  ALT=\"+10+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
document.write( ".<BR>\n" );
document.write( "(4, -5)(x,y) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+%2B+2y+=+10+ ALIGN=MIDDLE  ALT=\"+5x+%2B+2y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%284%29+%2B+2%28-5%29+=+10+ ALIGN=MIDDLE  ALT=\"+5%284%29+%2B+2%28-5%29+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+%2B+%28-10%29+=+10+ ALIGN=MIDDLE  ALT=\"+20+%2B+%28-10%29+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+-+10+=+10+ ALIGN=MIDDLE  ALT=\"+20+-+10+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+=+10+ ALIGN=MIDDLE  ALT=\"+10+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-5%2F2%29x+%2B+5+ ALIGN=MIDDLE  ALT=\"+y+=+%28-5%2F2%29x+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope-intercept form of the equation<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+%2B+2y+=+10+ ALIGN=MIDDLE  ALT=\"+5x+%2B+2y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the general/standard form of the equation<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This is the line on a graph<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing+%28800%2C800%2C-20%2C20%2C-20%2C20%2Cgrid%281%29%2C+graph+%28800%2C800%2C-20%2C20%2C-20%2C20%2C%28-5%2F2%29x+%2B+5%29%2C+blue+%28circle+%284%2C-5%2C0.1%29%29%2C+blue+%28circle+%282%2C0%2C0.1%29%29%2C+circle+%284%2C-5%2C0.2%29%2C+circle+%282%2C0%2C0.2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope I helped, Levi </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );