Answer :
So we want to see which of the given values can be used for a linear equation in the standard form.
The correct options are:
- A = 1/4, B = 3/4, and C = 0
- A = -2, B = 1/2, and C = 0
- A = -2, B = 3, and C = 5.
Well, the standard form for a linear equation is:
A*x + B*y = C
Where A, B, and C are real numbers.
If we want this to be a function, we would have the restriction that B can't be equal to zero, because that would give us a horizontal line, which is not a function.
So from this, we can discard the last option.
But the other 3 are good, as long as B is different than zero, the values of the coefficients can be any real value.
So the correct options are:
- A = 1/4, B = 3/4, and C = 0
- A = -2, B = 1/2, and C = 0
- A = -2, B = 3, and C = 5.
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