Question

The line x=7 is_____

• A. parallel to x-axis
• B. parallel to y-axis
• C. passes through origin
• D. passes through (0, 7)

Answer 1

The Correct Option is B

Step 1: The given equation is \( x = 7 \), which means the x-coordinate of every point on the line is fixed at 7. 

Step 2: Such an equation represents a vertical line that runs up and down through all values of \( y \), but always where \( x = 7 \). 

Step 3: A vertical line is parallel to the y-axis, because both extend infinitely in the vertical direction and never intersect. 

Step 4: This line does not pass through the origin \((0, 0)\), since all its points have \( x = 7 \), not \( x = 0 \). 

Step 5: It also does not pass through the point \((0, 7)\), because this point lies on the vertical line \( x = 0 \), while our line is at \( x = 7 \). 

Conclusion: The line \( x = 7 \) is parallel to the y-axis.