SOLUTION: Find the equation if X Y 0 9.5 1 9 2 8.5 3 8

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Question 39729: Find the equation if
X Y
0 9.5
1 9
2 8.5
3 8

Answer by smik(40) About Me  (Show Source):
You can put this solution on YOUR website!
Good question. Since the rate of change is constant - it's constantly changing by (-0.5) - we know it's a linear equation. Linear Equations are written in the form: y = mx + b, where m is the slope, and b is the y-intercept. We already know the slope: -0.5. We also know the y-intercept from the data above because x = 0 when y = 9.5. Now we know the whole equation:


y=-0.5x%2B9.5