document.write( "Question 1202717: table of values for the equation -3y + 6x = -6 \n" ); document.write( "

Algebra.Com's Answer #837791 by math_tutor2020(3817) $\"\"$ $\"About$

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\n" ); document.write( "Solve for y
\n" ); document.write( " $\"-3y+%2B+6x+=+-6\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"-3y+=++-6x-6\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++%28-6x-6%29%2F%28-3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++%28-6x%29%2F%28-3%29%2B%28-6%29%2F%28-3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++2x%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Compare this to the template y = mx+b
\n" ); document.write( "m = 2 = slope
\n" ); document.write( "b = 2 = y intercept\r
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\n" ); document.write( "\n" ); document.write( "Let's plug in x = 0
\n" ); document.write( " $\"y+=++2x%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++2%2A0%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++0%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++2\"$
\n" ); document.write( "We have x = 0 map to y = 2
\n" ); document.write( "The point (0,2) is on the line.\r
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\n" ); document.write( "\n" ); document.write( "Now let's try x = 1
\n" ); document.write( " $\"y+=++2x%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++2%2A1%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++2%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y+=++4\"$
\n" ); document.write( "The point (1,4) is also on the line.\r
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\n" ); document.write( "\n" ); document.write( "Repeat those steps for x = 2, x = 3, x = 4,and x = 5.
\n" ); document.write( "We get this table
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x	y
0	2
1	4
2	6
3	8
4	10
5	12

\n" ); document.write( "Each time x goes up by 1, y increases by 2. This is because slope = 2.
\n" ); document.write( "The table can be as big or small as you want.\r
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\n" ); document.write( "\n" ); document.write( "Graph
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\n" ); document.write( "The points
\n" ); document.write( "(0,2)
\n" ); document.write( "(1,4)
\n" ); document.write( "(2,6)
\n" ); document.write( "(3,8)
\n" ); document.write( "(4,10)
\n" ); document.write( "(5,12)
\n" ); document.write( "are marked on the graph.
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