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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

Verified Answer :

belcatya

y=  kx+b,    k-slope,    b-intercept
so
2=k1+b
7=k2+b
12=k3+b
17=k4+b

solve these two equation:
2=k1+b
7=k2+b
second minus first is 7-2=2k-k+b-b
5=k,
 so we know k=5
 put this in any equation 2=51+b 
b=2-5
b=-3

check this in
12=53-3 - right
17=5*4-3 - right

Answer: y=5x-3



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