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