# SOLUTION: i need to complete the table so that the functions are linear.... i have the answer but have NO IDEA how you get there! Thanks SO MUCH!!! X Y -3 7 -2 4 -1 0 1 2 -8 3

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 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

 Question 558149: i need to complete the table so that the functions are linear.... i have the answer but have NO IDEA how you get there! Thanks SO MUCH!!! X Y -3 7 -2 4 -1 0 1 2 -8 3Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!X Y -3 7 -2 4 -1 0 1 2 -8 3 Use the first two pairs to create the equation: y = mx + b: Assign as follows: x1=-3, y1=7 x2=-2, y2=4 : Find the slope m: = = -3 Use the point/slope form: y - y1 = m(x - x1) y - 7 = -3(x - (-3)) y - 7 = -3x - 9 y = -3x - 9 + 7 y = -3x - 2: the equation we want : Substitute the given x values and find y, to complete the table x=-1 y = -3(-1) - 2 y = 3 - 2 y = 1 the x/y pair -1,+1 x = 0 y = -3(0) - 2 y = -2 the pair 1,-2 : the table now looks like this X Y -3 7 -2 4 -1 1 0 -2 1 2 -8 3 check our equation using x=2, then you can do the same with x = 1 and x = 3, to finish the table