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question what is an equation of the line that passes through the points…

Question

question
what is an equation of the line that passes through the points $(-2, 5)$ and $(-2, -8)$?

answer attempt 1 out of 2

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Explanation:

Step1: Analyze x - coordinates

Both points \((-2, 5)\) and \((-2, -8)\) have the same \(x\)-coordinate (\(x=-2\)).

Step2: Determine line type

A line with a constant \(x\)-value for all \(y\)-values is a vertical line. The equation of a vertical line is given by \(x = a\), where \(a\) is the constant \(x\)-coordinate. Here, \(a=-2\), so the equation is \(x=-2\).

Answer:

\(x = -2\)