document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86669>Question 86669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with the following problems.\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the following system of linear inequalities by graphing.<BR>\n" );
document.write( "x-2y>4<BR>\n" );
document.write( "x<4  (under both greater/lesser signs, is a line)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find the y-intercept<BR>\n" );
document.write( "3x-y=-15\r<BR>\n" );
document.write( "\n" );
document.write( "Are the following lines parallel, perpendicular, or niether.<BR>\n" );
document.write( "L1 through (-4,-7) and (1,3)<BR>\n" );
document.write( "L2 through (2,6) and (4,10)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find the slope of the line passing through the points (11,20) and (8,2)\r<BR>\n" );
document.write( "\n" );
document.write( "I would really appreciate some help and a possible step by step on how to works these.  I am a slow learner with algebra.\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 #62717 by </B><A HREF=/tutors/aboutme.mpl?userid=Flake><B>Flake(45)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Flake><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=62717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following system of linear inequalities by graphing.<BR>\n" );
document.write( "x-2y>4 and x<4(with underline on the \">\")  <BR>\n" );
document.write( "---Step#1  Always rewrite in the form of \"Y = aX + b\" <BR>\n" );
document.write( "X-2Y > 4  becomes <BR>\n" );
document.write( "X – 4 > 2Y<BR>\n" );
document.write( "(1/2)X – 2 > Y    or   Y < (1/2)X – 2 (with underline under the \"<\")<BR>\n" );
document.write( "This means Y is less-than-or-equal-to \"(1/2)X-2\"<BR>\n" );
document.write( "---Step#2:  Create a table.<BR>\n" );
document.write( "X = 0, Y < -2<BR>\n" );
document.write( "X = 1, Y < -1.5<BR>\n" );
document.write( "X = 2, Y < -1<BR>\n" );
document.write( "X = -1, Y < -2.5<BR>\n" );
document.write( "X = -2, Y < -3\r<BR>\n" );
document.write( "\n" );
document.write( "---Step#3: Plot and graph your table and connect the points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+1.5%2Ax-2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+1.5%2Ax-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Because X<4, you need to draw vertical line at X=4\r<BR>\n" );
document.write( "\n" );
document.write( "----Step#4<BR>\n" );
document.write( "Because Y is less-than-or-equal-to \"(1/2)X-2\", your slanted line on the graph should solid and everything \"below\" of the lines should be included \"grey-out\"\r<BR>\n" );
document.write( "\n" );
document.write( "But because and X is less-than-or-equal-to 4, you should not \"grey-out\" anything to the \"Right\" of the \"Vertical\" line\" of X=4\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Find the y-intercept of 3x-y=-15<BR>\n" );
document.write( "---Step#1  Always rewrite in the form of \"Y = aX + b\"<BR>\n" );
document.write( "3x-y=-15 becomes<BR>\n" );
document.write( "3x+15=y  or<BR>\n" );
document.write( "y = 3x+15<BR>\n" );
document.write( "---Step#2: \"Find the y-intercept\" means if you graph this line, where would the line cross the Y-Axis.  <BR>\n" );
document.write( "---Step#3: Well, the line would cross the Y-axis when X=0<BR>\n" );
document.write( "y = 3x+15 = 3(0)+15<BR>\n" );
document.write( "y = 15 ---- the Y-intercept is 15\r<BR>\n" );
document.write( "\n" );
document.write( "******Reason I say Always rewrite in the form of \"Y = aX + b\" *** is because<BR>\n" );
document.write( "\"a\" is called the \"slope\"<BR>\n" );
document.write( "\"b\" is called the \"Y-intercept\"<BR>\n" );
document.write( "For example:  Y=20x-100<BR>\n" );
document.write( "The Slope is 20 and the Y-intercept is \"-100\"\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Are the following lines parallel, perpendicular, or niether.<BR>\n" );
document.write( "L1 through (-4,-7) and (1,3)<BR>\n" );
document.write( "L2 through (2,6) and (4,10) \r<BR>\n" );
document.write( "\n" );
document.write( "---Step#1:  Draw Line (L1)through (-4,-7) and (1,3)<BR>\n" );
document.write( "1st:  put a dot on point (-4, -7).  This means the dot is at X=-4 and Y=-7<BR>\n" );
document.write( "2nd:  put a dot on point (1, 3).  This means the dot is at X=1 and Y=3<BR>\n" );
document.write( "3rd:  draw a line to connect the two dots<BR>\n" );
document.write( "----you should get-----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---Step#1:  repeat the steps above and draw Line (L2)through (2,6) and (4,10) on the same graph<BR>\n" );
document.write( "----you should get-----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B2%2C+2x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+2x%2B2%2C+2x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----You tell me if it's parallel, perpendicular, or niether.\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Find the slope of the line passing through the points (11,20) and (8,2)<BR>\n" );
document.write( "--Step#1:  Plot the line passing through the points (11,20) and (8,2)<BR>\n" );
document.write( "You should see that goes upward from (8,2) to (11,20)<BR>\n" );
document.write( "--Step#2:  Understand the meaning/definition of Slope<BR>\n" );
document.write( "Slope is defined as Rise over Run or Rise/Run<BR>\n" );
document.write( "--Step#3:  Rise means moving from left to right, how \"much\" higher or lower did you go.<BR>\n" );
document.write( "In this case, we started from (8,2) where Y=2 and we moved to (11,20) where Y=20.<BR>\n" );
document.write( "We moved \"up\" 18 spaces (from 2 to 20).<BR>\n" );
document.write( "Rise = 18<BR>\n" );
document.write( "***note: if we moved \"down\", it should be \"negative 18\" meaning \"-18\"***<BR>\n" );
document.write( "--Step#4: Run means how much did we move going from left to right.<BR>\n" );
document.write( "In this case, we started from (8,2) where X=8 and we moved to (11,20) where X=11.<BR>\n" );
document.write( "We moved 3 spaces (from 8 to 11)<BR>\n" );
document.write( "Run = 3<BR>\n" );
document.write( "--Step#5:  Apply the definition of Slope<BR>\n" );
document.write( "Slope = Rise over Run<BR>\n" );
document.write( "Slope = Rise/Run = 18/3<BR>\n" );
document.write( "Slope = 6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );