document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234168>Question 234168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I REALLY need help with this please! It's a big question but please help as much as you can.\r<BR>\n" );
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document.write( "Consider the function y - 5 = -4x\r<BR>\n" );
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document.write( "a) Write the equation in standard form.\r<BR>\n" );
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document.write( "b) Write the equation in slope-intercept form.\r<BR>\n" );
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document.write( "c) The slope is______________.\r<BR>\n" );
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document.write( "d) The y-intercept is______________.\r<BR>\n" );
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document.write( "e) Graph the function using the slope-intercept method of graphing.\r<BR>\n" );
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document.write( "Please help, and please explain your answer so I can hopefully understand it as well. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172790 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the function y - 5 = -4x<BR>\n" );
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document.write( "a) Write the equation in standard form.<BR>\n" );
document.write( "The standard form is ax + by = c<BR>\n" );
document.write( "y - 5 = -4x<BR>\n" );
document.write( "add 4x to both sides to get 4x on the left<BR>\n" );
document.write( "4x + y - 5 = 0<BR>\n" );
document.write( "add 5 to both sides to get the numeral (c) on the right, results<BR>\n" );
document.write( "4x + y = 5; this is the standard form<BR>\n" );
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document.write( "b) Write the equation in slope-intercept form.<BR>\n" );
document.write( "The slope intercept form is y = mx + b<BR>\n" );
document.write( "y - 5 = -4x<BR>\n" );
document.write( "Add 5 to both sides<BR>\n" );
document.write( "y = -4x + 5; this is the slope/intercept form<BR>\n" );
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document.write( "c) The slope is: in the above equation note that the slope (m) is -4<BR>\n" );
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document.write( "d) The y-intercept is 5 (b).<BR>\n" );
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document.write( "e) Graph the function using the slope-intercept method of graphing. <BR>\n" );
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document.write( "Using the slope/intercept equation y = -4x + 5<BR>\n" );
document.write( "Substitute a value for x and find y<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "y = -4(-1) + 5<BR>\n" );
document.write( "y = +4 + 5<BR>\n" );
document.write( "y = 9<BR>\n" );
document.write( "Plot this x/y point: -1,9<BR>\n" );
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document.write( "x = +1<BR>\n" );
document.write( "y = -4(1) + 5<BR>\n" );
document.write( "y = -4 + 5<BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( "Plot this x/y point: 1,1<BR>\n" );
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document.write( "this is linear graph (straight line) we only need to plot the two points<BR>\n" );
document.write( "the graph should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+4%2C+-10%2C+12%2C+-4x%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+4%2C+-10%2C+12%2C+-4x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that this agrees with the two points, -1,9 and 1,1<BR>\n" );
document.write( "Also see the y intercept occurs when x = 0, then y = 5<BR>\n" );
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document.write( "Did this shed some light on this stuff for you??<BR>\n" );
document.write( "Question? ankor@att.net<BR>\n" );
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document.write( "Response to comment:<BR>\n" );
document.write( "That does present a problem but can be overcome by plotting a point that falls<BR>\n" );
document.write( "within this graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-7%2C+7%2C+-6%2C+6%2C+-4x%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-7%2C+7%2C+-6%2C+6%2C+-4x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you can see we are limited but lets plot the point for:<BR>\n" );
document.write( "x = +2<BR>\n" );
document.write( "y = -4(2) + 5<BR>\n" );
document.write( "y = -8 + 5<BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "Plot this x/y point: +2, -3<BR>\n" );
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document.write( "So we have 2,-3 and 1, 1 as the points we can plot here<BR>\n" );
document.write( "Also I should mention the y intercept is an easy one to plot, (when x=0), the<BR>\n" );
document.write( "point where the line crosses y axis, in this case 5, can be used<BR>\n" );
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document.write( "You can choose what values of x you wish to plot, if one doesn't work try<BR>\n" );
document.write( "another, with a little practice you will see what is best.<BR>\n" );
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document.write( "Did this help answer your question on this? Let me know please.  </SPAN>\n" );
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