document.write( "Question 65736: What is the linear equation that created this table:
\n" ); document.write( "x=-3,-2,-1,0,1, 2, 3
\n" ); document.write( "y= 0, 2, 4,6,8,10,12
\n" ); document.write( "I am having trouble determining the formula/s to answer these problems.
\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #46442 by funmath(2933) $\"\"$ $\"About$

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What is the linear equation that created this table:
\n" ); document.write( "x=-3,-2,-1,0,1, 2, 3
\n" ); document.write( "y= 0, 2, 4,6,8,10,12
\n" ); document.write( ":
\n" ); document.write( "In order to find the equation of a line, you need a point and a slope. You have 7 points, but no slope.
\n" ); document.write( "Never fear, we can use two points to come up with a slope using the slope formula: $\"highlight%28m=%28y2-y1%29%2F%28x2-x1%29%29\"$ , where m=slope and (x1,y1) and (x2,y2) are given points.
\n" ); document.write( "Let (x1,y1)=(-3,0) and (x2,y2)=(-2,2)
\n" ); document.write( " $\"m=%282-0%29%2F%28-2-%28-3%29%29\"$
\n" ); document.write( " $\"m=2%2F1\"$
\n" ); document.write( " $\"m=2\"$
\n" ); document.write( "Since one of the points we have is the y-intercept (0,6), and we now know the slope m=2, we can use the slope intercept form $\"highlight%28y=mx%2Bb%29\"$ , where m=slope, and (0,b)=y-intercept, to find the equation of the line.
\n" ); document.write( "m=2 (0,b)=(0,6)
\n" ); document.write( " $\"highlight%28y=2x%2B6%29\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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