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PLS HELP ME ASAP FOR NUMBER 2!! (THE ONE WITH A DATA TABLE NEXT TO IT)

THANK U SM!!

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PLS HELP ME ASAP FOR NUMBER 2!! (THE ONE WITH A DATA TABLE NEXT TO IT) THANK U SM-example-1
User QqNade
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1 Answer

5 votes
No,2

It's a linear function : f(x) = mx + b OR y = m.x + b (since f(x) = y.

Let's calculate the slope m→ m=(y₂-y₁)/(x₂-x₁)

The pair of the 1st data is (4 ; 7.5)
The pair of the 2nd data is (6 ; 9)

Then m = (9-7.5)/(6-4) → m = 0.75 (you can verify it with any other pair).

y = 0.75x + b. Now let's calculate b (which is the y-intercept) by plugging in any pair, let's take the last one (10,12)

12 = (0.75)(10) + b → b= 12 - 7.5 → b = 4.5

The equation becomes y = 0.75x + 4.5 OR f(x) = 0.75x +4.5