Question

Which set of points includes all of the solutions for y = negative three halves times x plus two?

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(x, y) for all real numbers
(x, negative three halves times x plus two) for all real numbers
(−2, 5), (0, 2), and (4, −4)
(−4, 8), (−2, 5), (0, 2), (2, −1), (4, −4)

Answer 1

Given:

`y=-(3)/(2)x+2`

To find:

The set of points that includes all of the solutions for the given equation.

Solution:

From the given equation, it is clear that y-values depend on the x-values.

If x is a real number, then y-values are real numbers such that
`y=-(3)/(2)x+2`.

So, the set of points that includes all of the solutions for the given equation is defined as
`\left(x,-(3)/(2)x+2\right)` for all real numbers.

Therefore, the correct option is B.