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complete the equation describing how x and y are related. | x | y | |--…

Question

complete the equation describing how x and y are related.

xy
13
27
311
415
519

$y = 4x + ?$

enter the number that belongs in the green box.

Explanation:

Step1: Use x=0, y=-1 to solve for b

Substitute $x=0$, $y=-1$ into $y=4x+b$:
$-1 = 4(0) + b$

Step2: Simplify to find b

$-1 = 0 + b$ so $b=-1$

Step3: Verify with another pair (x=1,y=3)

Substitute $x=1$, $b=-1$ into $y=4x+b$:
$y=4(1)+(-1)=3$, which matches the table.

Answer:

$-1$