document.write( "Question 75295: Graph this equation 3 ways 2x+3y=1 \n" ); document.write( "
Algebra.Com's Answer #54050 by rmromero(383)\"\" \"About 
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\n" ); document.write( "Graph this equation 3 ways 2x+3y=1\r
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\n" ); document.write( "\n" ); document.write( "1. Make a table of values of x and y. Assume values of x
\n" ); document.write( " then substitute them to 2x + 3y = 1. Plot the points
\n" ); document.write( " connect with a line.\r
\n" ); document.write( "\n" ); document.write( "If x = -2 if x = 2
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\n" ); document.write( " 2(-1) + 3y = 1 2(2) + 3y = 1
\n" ); document.write( " -2 + 3y = 1 4 + 3y = 1
\n" ); document.write( " 3y = 3 3y = -3
\n" ); document.write( " y = 1 y = -1\r
\n" ); document.write( "\n" ); document.write( " x y
\n" ); document.write( " -1 1
\n" ); document.write( " 2 -1\r
\n" ); document.write( "\n" ); document.write( "Plot the two point (-2, 1) and (2, -1)\r
\n" ); document.write( "\n" ); document.write( "\"graph+%28200%2C+200%2C+-4%2C+5%2C+-5%2C+4%2C+%28-2%2F3%29x+%2B1%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "2. Locate x and y intercept. x -intercept crosses x axis so y = 0
\n" ); document.write( " y - intercept crosses y-axis so x = 0\r
\n" ); document.write( "\n" ); document.write( " x - intercept y -intercept\r
\n" ); document.write( "\n" ); document.write( " 2x + 3(0) = 1 2(0) + 3y = 1
\n" ); document.write( " 2x = 1 3y = 1
\n" ); document.write( " x = 1/2 y = 1/3\r
\n" ); document.write( "\n" ); document.write( "Plot the two points (1/2, 0) and (0, 1/3)\r
\n" ); document.write( "\n" ); document.write( "\"graph+%28200%2C+200%2C+-1%2C+2%2C+-2%2C+2%2C+%28-2%2F3%29x+%2B+1%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "3. Slope and y - intercept. Find the slope and y -intercept of the equation
\n" ); document.write( " y = mx + b where m = slope and b = y-intercept\r
\n" ); document.write( "\n" ); document.write( " 2x + 3y =1
\n" ); document.write( " 3y = -2x + 1
\n" ); document.write( " y = (-2/3)x + 1/3
\n" ); document.write( " m = -2/3 b = 1/3\r
\n" ); document.write( "\n" ); document.write( "Plot the first point using the y-intercept (0, 1/3)
\n" ); document.write( "then with the help of the slope we will locate the second point
\n" ); document.write( "the numerator indicated the change in y. Move up if the numerator is positive
\n" ); document.write( "move down if it is negative. the denominator indicates the change in x.
\n" ); document.write( "if positive, move right. negative, move left\r
\n" ); document.write( "\n" ); document.write( "from (0, 1/3) move 2 units down then 3 units right so the new point is located
\n" ); document.write( "(3, -1 1/3)\r
\n" ); document.write( "\n" ); document.write( "\"graph+%28200%2C+200%2C+-1%2C+4%2C+-2%2C+2%2C+%28-2%2F3%29x+%2B+1%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "If this is a help
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