Analysis of the given lines:
- Line 1: 8x - 12 = 0
- This line represents a linear equation in the form of y = mx + c, where m is the slope and c is the y-intercept.
- Rearranging the given equation, we get 8x = 12, which simplifies to x = 12/8, or x = 3/2.
- So, the line represented by this equation passes through the point (3/2, 0).
- Line 2: x = -13/3
- This line is a vertical line passing through the point (-13/3, y) for all values of y.
- The slope of a vertical line is undefined, and it is parallel to the y-axis.

Explanation:
- Coincident lines:
- Two lines are coincident if they lie on top of each other, i.e., they have the same slope and y-intercept.
- In this case, the two lines do not have the same slope or y-intercept, so they are not coincident.
- Intersecting lines:
- Two lines are intersecting if they cross each other at a single point.
- Since the two lines have different slopes and intercepts, they will intersect at a unique point.
- Therefore, the given lines are intersecting.
- Parallel lines:
- Two lines are parallel if they have the same slope but different y-intercepts.
- The slope of Line 1 is 8, while the slope of Line 2 is undefined.
- Since the slopes are different, the lines are not parallel.
Therefore, the given lines 8x - 12 = 0 and x = -13/3 are intersecting at a unique point.