Find the equation of the straight line perpendicular to y-axis and
`(i)` passing through the origin
`(ii)` passing through the point `(-2,-3)`

Answer

To find the equations of straight lines that are perpendicular to the y-axis, we need to understand that such lines are vertical lines. The equations of vertical lines can be expressed in the form \( x = k \), where \( k \) is a constant.

### (i) Equation of the line passing through the origin (0, 0):

1. **Identify the point**: The line must pass through the origin, which has coordinates (0, 0).
2. **Determine the equation**: Since the line is vertical and passes through the origin, the equation will be:
\[ x = 0 \]

### (ii) Equation of the line passing through the point (-2, -3):

1. **Identify the point**: The line must pass through the point (-2, -3).
2. **Determine the equation**: Since the line is vertical and passes through (-2, -3), the equation will be:
\[ x = -2 \]

### Final Answers:
- (i) The equation of the line passing through the origin is \( x = 0 \).
- (ii) The equation of the line passing through the point (-2, -3) is \( x = -2 \).

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