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What is the slope-intercept form of the function described by this table?

x 1 2 3 4

y 2 7 12 17

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y = ? x + ?

Verified Answer :

texaschic101

(1,2)(2,7)
slope = (7 - 2) / (2 - 1) = 5/1 or just 5

y = mx + b
slope(m) = 5
use either of ur points (1,2)...x = 1 and y = 2
now we sub and find b, the y int
2 = 5(1) + b
2 = 5 + b
2 - 5 = b
-3 = b

so ur equation is : y = 5x + (-3)...or it can also be written as : y = 5x - 3

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