document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272643>Question 272643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem is:  4x - y =7<BR>\n" );
document.write( "I need to determine if it is a linear equation or not.  i need to explain the problem and try to share at least 3 orderd pairs of points that would be solutions to this equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199379 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a linear equation is an equation in which the highest order of exponent is 1.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "4x - y = 7\r<BR>\n" );
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document.write( "it's a linear equation.\r<BR>\n" );
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document.write( "none of the variables has an exponent larger than 1.\r<BR>\n" );
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document.write( "x = x^1\r<BR>\n" );
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document.write( "y = y^1\r<BR>\n" );
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document.write( "to find your ordered pairs, just take 3 values for x at random and plug them into the equation.\r<BR>\n" );
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document.write( "let x = 1,2,3\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "4x - y = 7\r<BR>\n" );
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document.write( "if you solve for y, it makes it easier to find the y value given the x value.\r<BR>\n" );
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document.write( "solve for y to get:\r<BR>\n" );
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document.write( "y = 4x - 7\r<BR>\n" );
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document.write( "when x = 1, y = -3<BR>\n" );
document.write( "when x = 2, y = 1<BR>\n" );
document.write( "when x = 3, y = 5\r<BR>\n" );
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document.write( "placing the equation into this form also allows you to graph it.\r<BR>\n" );
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document.write( "placing the equation into this form also gives  you the slope-intercept form of the equation.\r<BR>\n" );
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document.write( "what you started with was the standard form of the equation for a straight line.\r<BR>\n" );
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document.write( "that standard form is ax + by = c\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "4x - y = 7\r<BR>\n" );
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document.write( "a = 4 and b = -1\r<BR>\n" );
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document.write( "the slope intercept form of the equation of a straight line is y = mx + b\r<BR>\n" );
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document.write( "m is the slope and b is the y intercept.\r<BR>\n" );
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document.write( "when you solved for y, you placed the equation into this form.\r<BR>\n" );
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document.write( "your slope is 4\r<BR>\n" );
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document.write( "your y intercept is -7\r<BR>\n" );
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document.write( "graph of your equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-1%2C4%2C-10%2C10%2C4x-7%2C-3%2C1%2C5%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-1%2C4%2C-10%2C10%2C4x-7%2C-3%2C1%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I placed horizontal lines at y = -3, 1, 5.\r<BR>\n" );
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document.write( "If you trace a vertical line down from the intersections of those lines with the line created by your equation, you will see that the value of x at those intersection points is 1,2,3\r<BR>\n" );
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document.write( "the points on the line formed by your equation are:\r<BR>\n" );
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document.write( "(x1,y1) = (1,-3)<BR>\n" );
document.write( "(x2,y2) = (2,1)<BR>\n" );
document.write( "(x3,y3) = (3,5)\r<BR>\n" );
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document.write( "you can take any other values of x and find the corresponding value of y by just replacing x in the equation with the value of x.\r<BR>\n" );
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document.write( "the equation is y = 4x - 7\r<BR>\n" );
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document.write( "when x = 5, y = 20-7 = 13, etc.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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