Question

which graph has both (-2, 4) and (-2, -4)?

Explanation:

Step1: Analyze the x - coordinate

For the points \((-2,4)\) and \((-2,-4)\), the \(x\) - coordinate is \(-2\) for both. This means the points lie on the vertical line \(x = - 2\).

Step2: Analyze the y - coordinate

The \(y\) - coordinate of one point is \(4\) (positive, so above the \(x\) - axis) and the \(y\) - coordinate of the other point is \(-4\) (negative, so below the \(x\) - axis).

Looking at the last option:

• The \(x\) - coordinate of both points is \(-2\).
• One point has a positive \(y\) - value and the other has a negative \(y\) - value.

Answer:

The last graph (the one in the bottom - right corner) has both \((-2,4)\) and \((-2,-4)\).