PLEASE HELP WILL MARK BRAINLIEST Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?

x squared over 8 minus y squared over 8 equals 1
x squared over 8 minus y squared over 16 equals 1
y squared over 8 minus x squared over 8 equals 1
y squared over 16 minus x squared over 8 equals 1

The equation of the hyperbola is:

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They are both in the x-axis, and the center is (0,0), which means that the equation is:

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Directrices at means that:

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Foci at means that:

Thus:

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For b, we have that:

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Thus, since a and b have been found, the equation of the hyperbola is:

A similar problem is given at link

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: