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how do u solve this agebra equation step by step

Algebra
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an equation that shows the pattern among this set of ordered pairs (2,5), (4,9), (5,11), (7,15) use slope-intercept form y = mx + b

Dec 30th, 2014

ΔX X Y ΔY

   2 [2 5] 4

         [4 9]      

  1 [5 11] 2

  2 [7 15] 4

 

 

 ΔY /ΔX is given , the difference between coordinates of every 2 consecutive point is given

  

     in each case equal 4/2 = 2/1=2

 

    So these points are located on a line, with slope =2. 

 

     Y = 2x +b

 

  can place coordinate of any one of the points and find out the equation:

 

      5 = 2(2) + b

      b =1

 

      Y = 2X + 1

Hope it helps and choose me best

Dec 30th, 2014

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