A line is parallel to the y-axis and passes through the point \( (2,3) \). What is its gradient (m) and x-intercept?
Show Hint
- \( m = 0, x = (3,0) \)
- \( m = \infty, x = (2,0) \)
- \( m = 0, x = (2,0) \)
- \( m = \infty, x = (3,0) \)
- \( m = 2, x = (0,0) \)
The Correct Option is B
Solution and Explanation
A line parallel to the y-axis has an undefined slope (\( m = \infty \)) and a constant \( x \)-coordinate.
Step 2: Calculate the x-intercept.
Since the line passes through \( (2, 3) \), its x-intercept occurs at \( x = 2 \).
Step 3: Conclusion.
Thus, \( m = \infty \) and the x-intercept is \( x = 2 \).
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