Can someone help me find out the function of this chart? In slope intercept form please

Question

anonymous · Answer

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welshfella · Answer

the slope will be difference in value of f(x) / corresponding difference in x
 slope m = (5-1 )/ (2-1)

welshfella · Answer

confirm this   with (1 - (-7)) / (1 - (-1))

welshfella · Answer

the general form is 
y = mx + b

where b is the y-intercept

plug in a value of x and y ( f(x)) and m to find b

anonymous · Answer

the diffrences in f(x) is different every point though? The slope is supposed to be a stagnant rate of change

welshfella · Answer

work those 2 expressions out - you'll see they are the same

anonymous · Answer

OHhhhhhh I see

anonymous · Answer

wait maybe not im still confused :(

welshfella · Answer

(5-1)/(2-1) = 4/1 = 4

anonymous · Answer

Oh ok now I get it thanks so much dude, something so simple yet I was racking my brain to the point of explosion with it haha

welshfella · Answer

lol  yw