The equation that satisfies the data in the table is,
y = -4x - 4 [Option D]
Definition of an Equation:
An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.
The (x, y) coordinates from the given table are,
(-1,0), (0, -4), (1, -8)
Now, these points must satisfy the required equation.
Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.
Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.
Taking the fourth equation, y = -4x - 4
Putting x = -1 in this equation, we get,
y = -4(-1) - 4
y = 4 - 4
y = 0
Likewise, this equation satisfies the rest of the data in the table too.
Therefore, y = -4x - 4 is the required equation.
Learn more about an equation here:
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