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Answer :

First, we have to find the slope with the formula below.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's replace the points (0, -1) and (2, 0).

[tex]m=\frac{0-(-1)}{2-0}=\frac{1}{2}[/tex]

Once we have the slope, we use the slope-intercept formula to find the equation.

[tex]y=mx+b[/tex]

Where m = 1/2, and b = -1.

[tex]y=\frac{1}{2}x-1[/tex]

Hence, the answer is the third choice.