Questions: Find an equation for the line with the given properties. Vertical line; containing the point (-8,1) x=1 x=-8 y=-8 y=1
Transcript text: Question 2 (1 point)
Find an equation for the line with the given properties.
Vertical line; containing the point $(-8,1)$
$x=1$
$x=-8$
$y=-8$
$y=1$
Solution
Solution Steps
To find the equation of a vertical line that passes through a given point, we need to identify the x-coordinate of that point. A vertical line has an equation of the form \( x = a \), where \( a \) is the x-coordinate of any point on the line. In this case, the point given is \((-8, 1)\), so the equation of the vertical line is \( x = -8 \).
Step 1: Identify the Type of Line
The problem specifies that the line is vertical. A vertical line has an equation of the form \( x = a \), where \( a \) is a constant.
Step 2: Determine the Equation of the Line
The line must pass through the point \((-8, 1)\). For a vertical line, the x-coordinate of any point on the line is constant. Therefore, the equation of the line is determined by the x-coordinate of the given point.