Questions: Which is the equation for the line containing points (8,-5) and (8,3) ? y=8 y=-13/5 x+119/5 y=-13/5 x+89/5 x=8

Which is the equation for the line containing points (8,-5) and (8,3) ? y=8 y=-13/5 x+119/5 y=-13/5 x+89/5 x=8
Transcript text: Which is the equation for the line containing points $(8,-5)$ and $(8,3)$ ? $y=8$ $y=-\frac{13}{5} x+\frac{119}{5}$ $y=-\frac{13}{5} x+\frac{89}{5}$ $x=8$
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Solution

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Solution Steps

To find the equation of the line containing the points \((8, -5)\) and \((8, 3)\), we need to determine if the line is vertical, horizontal, or has a specific slope. Since both points have the same x-coordinate, the line is vertical.

Step 1: Identify the Type of Line

Given the points \((8, -5)\) and \((8, 3)\), we observe that both points have the same \(x\)-coordinate.

Step 2: Determine the Equation

Since the \(x\)-coordinates are the same, the line is vertical. The equation of a vertical line passing through \(x = 8\) is simply \(x = 8\).

Final Answer

The equation for the line containing the points \((8, -5)\) and \((8, 3)\) is: \[ \boxed{x = 8} \]

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