SOLUTION: trying to find the rule input (x) 0, 1, 2, 3 output (y) 1, 1.5, 2, 2.5

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Question 775274: trying to find the rule
input (x) 0, 1, 2, 3
output (y) 1, 1.5, 2, 2.5
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
choose any two points and find equation of a line going through points:
Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (2, 2) and (x2, y2) = (1, 1.5).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%281.5-2%29%2F%281-2%29+=+0.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 0.5%2A2+%2Bb+=+1. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=2-0.5%2A2+=+1.

y=(0.5)x + (1)

Your graph:




so, the rule is: y=0.5x+%2B+1