document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010398>Question 1010398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What does the line -4x + 3y = -7 look like?<BR>\n" );
document.write( " 	<BR>\n" );
document.write( "	horizontal<BR>\n" );
document.write( "	vertical<BR>\n" );
document.write( "	slanted right upwards<BR>\n" );
document.write( "	slanted right downwards<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 #625817 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=625817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation is -4x + 3y = -7\r<BR>\n" );
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document.write( "to get an idea of what it looks like, put it in the form of y = mx + b.<BR>\n" );
document.write( "m is the slope and b is the y-intercept.<BR>\n" );
document.write( "the slope is the change in the value of y divided by the change in the value of x.<BR>\n" );
document.write( "the y-intercept is the value of y when the value of x is 0.\r<BR>\n" );
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document.write( "start with -4x + 3y = -7<BR>\n" );
document.write( "add 4x to both sides of the equation to get 3y = 4x - 7<BR>\n" );
document.write( "divide both sides of the equation by 3 to get y = (4/3)*x - (7/3)\r<BR>\n" );
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document.write( "the equation is now in slope intercept form.<BR>\n" );
document.write( "the slope is 4/3.<BR>\n" );
document.write( "the y-intercept is 7/3.\r<BR>\n" );
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document.write( "since the slope is positive, the line is slanting up as it moves to the right.\r<BR>\n" );
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document.write( "the y-axis is the vertical line where the value of x is 0.<BR>\n" );
document.write( "the x-axis is the horizontal line where the value of y is 0.\r<BR>\n" );
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document.write( "the value of y will be -7/3 when the value of x is 0.<BR>\n" );
document.write( "this means that the graph of the equation, which is a straight line, will cross the y-axis at the point (0,-7/3).\r<BR>\n" );
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document.write( "the graph of the equation of the line is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/121501.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "from the graph, you can see that the line crosses the y-axis at the point (0,-2 and 1/3).\r<BR>\n" );
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document.write( "in decimal form, -2 and 1/3 is shown on the graph as -2.333 rounded to three decimal places.\r<BR>\n" );
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document.write( "from the graph, you can see that the point (9,9 and 2/3) is also on the line.\r<BR>\n" );
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document.write( "the general form of the coordinates of a point is (x,y).<BR>\n" );
document.write( "in the point (9,9 and 2/3):<BR>\n" );
document.write( "9 is the x-coordinate of the point.<BR>\n" );
document.write( "9 and 2/3 is the y-coordinate of the point.\r<BR>\n" );
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document.write( "in decimal form, 9 and 2/3 is shown on the graph as 9.667 rounded to three decimal places.\r<BR>\n" );
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document.write( "9 and 2/3 can also be shown as (29/3).\r<BR>\n" );
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document.write( "your y-intercept is the value of y when x is 0 which is -2 and 2/3 which is the same as - 7/3 as shown in the equation.\r<BR>\n" );
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document.write( "the slope would be calculated from any 2 points on the line.\r<BR>\n" );
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document.write( "the formula is m = (y2-y1) / (x2-x1)\r<BR>\n" );
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document.write( "(x1,y1) is one point on the line which we'll assign to (0,-7/3).\r<BR>\n" );
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document.write( "(x2,y2) is another point on the line which we'll assign to (9,29/3).\r<BR>\n" );
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document.write( "the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29+%2F+%28x2-x1%29 ALIGN=MIDDLE  ALT=\"%28y2-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%2829%2F3%29-%28-7%2F3%29%29%2F%289-0%29 ALIGN=MIDDLE  ALT=\"%28%2829%2F3%29-%28-7%2F3%29%29%2F%289-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2829%2F3%29+%2B+%287%2F3%29%29%2F9 ALIGN=MIDDLE  ALT=\"%28%2829%2F3%29+%2B+%287%2F3%29%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2F3%29%2F9 ALIGN=MIDDLE  ALT=\"%2836%2F3%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F9%29 ALIGN=MIDDLE  ALT=\"%2812%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "that's the same as the slope in the equation.\r<BR>\n" );
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document.write( "the equation is, once again, y = (4/3)*x - (7/3)\r<BR>\n" );
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