document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=502673>Question 502673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of the line that passes through through the given points.<BR>\n" );
document.write( "16. (-5, -4) , (0, 11)<BR>\n" );
document.write( "18. (2, 8) , (5, 2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338922 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=338922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 16. (-5,-4),(0,11)\r<BR>\n" );
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document.write( "Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.<BR>\n" );
document.write( "To calculate the equation of the line, use the y=mx+b format.\r<BR>\n" );
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document.write( "Slope is equal to the change in y over the change in x, or 'rise over run'.<BR>\n" );
document.write( "m=(change  in  y)/(change  in  x)\r<BR>\n" );
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document.write( "The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).<BR>\n" );
document.write( "m=(y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "Substitute in the values of x and y into the equation to find the slope.<BR>\n" );
document.write( "m=(11-(-4))/(0-(-5))\r<BR>\n" );
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document.write( "Multiply -1 by the -5 inside the parentheses.<BR>\n" );
document.write( "m=(11-(-4))/(0+5)\r<BR>\n" );
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document.write( "Adding 0 to an expression does not change the value of the expression.<BR>\n" );
document.write( "m=(11-(-4))/(5)\r<BR>\n" );
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document.write( "Multiply -1 by the -4 inside the parentheses.<BR>\n" );
document.write( "m=(11+4)/(5)\r<BR>\n" );
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document.write( "Add 4 to 11 to get 15.<BR>\n" );
document.write( "m=(15)/(5)\r<BR>\n" );
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document.write( "Cancel the common factor of 5 in (15)/(5).<BR>\n" );
document.write( "m=(^(3)<X>15<x>)/(<X>5<x>)\r<BR>\n" );
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document.write( "Remove the common factors that were cancelled out.<BR>\n" );
document.write( "m=3\r<BR>\n" );
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document.write( "Find the value of b using the formula for the equation of a line.<BR>\n" );
document.write( "y=mx+b\r<BR>\n" );
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document.write( "Substitute the value of m into the equation.<BR>\n" );
document.write( "y=(3)*x+b\r<BR>\n" );
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document.write( "Substitute the value of x into the equation.<BR>\n" );
document.write( "y=(3)*(-5)+b\r<BR>\n" );
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document.write( "Substitute the value of y into the equation.<BR>\n" );
document.write( "(-4)=(3)*(-5)+b\r<BR>\n" );
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document.write( "Since b is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "(3)*(-5)+b=(-4)\r<BR>\n" );
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document.write( "Multiply (3) by (-5) to get (3)(-5).<BR>\n" );
document.write( "(3)(-5)+b=(-4)\r<BR>\n" );
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document.write( "Remove the parentheses around the expression -4.<BR>\n" );
document.write( "(3)(-5)+b=-4\r<BR>\n" );
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document.write( "Multiply 3 by -5 to get -15.<BR>\n" );
document.write( "(-15)+b=-4\r<BR>\n" );
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document.write( "Remove the parentheses around the expression -15.<BR>\n" );
document.write( "-15+b=-4\r<BR>\n" );
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document.write( "Reorder the polynomial -15+b alphabetically from left to right, starting with the highest order term.<BR>\n" );
document.write( "b-15=-4\r<BR>\n" );
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document.write( "Since -15 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 15 to both sides.<BR>\n" );
document.write( "b=15-4\r<BR>\n" );
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document.write( "Subtract 4 from 15 to get 11.<BR>\n" );
document.write( "b=11\r<BR>\n" );
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document.write( "Now that the values of m(slope) and b(y-intercept) are known, substitute them into y=mx+b to find the equation of the line.<BR>\n" );
document.write( "y=3x+11\r<BR>\n" );
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document.write( "18. (2,8),(5,2)\r<BR>\n" );
document.write( "\n" );
document.write( "Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.<BR>\n" );
document.write( "To calculate the equation of the line, use the y=mx+b format.\r<BR>\n" );
document.write( "\n" );
document.write( "Slope is equal to the change in y over the change in x, or 'rise over run'.<BR>\n" );
document.write( "m=(change  in  y)/(change  in  x)\r<BR>\n" );
document.write( "\n" );
document.write( "The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).<BR>\n" );
document.write( "m=(y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "Substitute in the values of x and y into the equation to find the slope.<BR>\n" );
document.write( "m=(2-(8))/(5-(2))\r<BR>\n" );
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document.write( "Multiply -1 by the 2 inside the parentheses.<BR>\n" );
document.write( "m=(2-(8))/(5-2)\r<BR>\n" );
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document.write( "Subtract 2 from 5 to get 3.<BR>\n" );
document.write( "m=(2-(8))/(3)\r<BR>\n" );
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document.write( "Multiply -1 by the 8 inside the parentheses.<BR>\n" );
document.write( "m=(2-8)/(3)\r<BR>\n" );
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document.write( "Subtract 8 from 2 to get -6.<BR>\n" );
document.write( "m=(-6)/(3)\r<BR>\n" );
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document.write( "Move the -1 to the front of the fraction.<BR>\n" );
document.write( "m=-(6)/(3)\r<BR>\n" );
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document.write( "Move the -1 to the front of the fraction.<BR>\n" );
document.write( "m=-((6)/(3)\r<BR>\n" );
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document.write( "Cancel the common factor of 3 in (6)/(3).<BR>\n" );
document.write( "m=-((^(2)<X>6<x>)/(<X>3<x>))\r<BR>\n" );
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document.write( "Remove the common factors that were cancelled out.<BR>\n" );
document.write( "m=-(2)\r<BR>\n" );
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document.write( "Multiply -1 by the 2 inside the parentheses.<BR>\n" );
document.write( "m=-2\r<BR>\n" );
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document.write( "Find the value of b using the formula for the equation of a line.<BR>\n" );
document.write( "y=mx+b\r<BR>\n" );
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document.write( "Substitute the value of m into the equation.<BR>\n" );
document.write( "y=(-2)*x+b\r<BR>\n" );
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document.write( "Substitute the value of x into the equation.<BR>\n" );
document.write( "y=(-2)*(2)+b\r<BR>\n" );
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document.write( "Substitute the value of y into the equation.<BR>\n" );
document.write( "(8)=(-2)*(2)+b\r<BR>\n" );
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document.write( "Since b is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "(-2)*(2)+b=(8)\r<BR>\n" );
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document.write( "Multiply (-2) by (2) to get (-2)(2).<BR>\n" );
document.write( "(-2)(2)+b=(8)\r<BR>\n" );
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document.write( "Remove the parentheses around the expression 8.<BR>\n" );
document.write( "(-2)(2)+b=8\r<BR>\n" );
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document.write( "Multiply -2 by 2 to get -4.<BR>\n" );
document.write( "(-4)+b=8\r<BR>\n" );
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document.write( "Remove the parentheses around the expression -4.<BR>\n" );
document.write( "-4+b=8\r<BR>\n" );
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document.write( "Reorder the polynomial -4+b alphabetically from left to right, starting with the highest order term.<BR>\n" );
document.write( "b-4=8\r<BR>\n" );
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document.write( "Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides.<BR>\n" );
document.write( "b=4+8\r<BR>\n" );
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document.write( "Add 8 to 4 to get 12.<BR>\n" );
document.write( "b=12\r<BR>\n" );
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document.write( "Now that the values of m(slope) and b(y-intercept) are known, substitute them into y=mx+b to find the equation of the line.<BR>\n" );
document.write( "y=-2x+12 </SPAN>\n" );
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