Given information:
- One end of the line is at the point (-3, 2).
- The ordinate (y-coordinate) of the other end is 10.

To find:
- The abscissa (x-coordinate) of the other end.

Let's solve this problem step by step:

Step 1: Understanding the given information
The point (-3, 2) represents one end of the line. This means that the line starts at (-3, 2).

Step 2: Understanding the meaning of "ordinate" and "abscissa"
In a coordinate system, any point can be represented by its coordinates, which consist of an x-coordinate (abscissa) and a y-coordinate (ordinate). The abscissa represents the position of the point along the x-axis, and the ordinate represents the position along the y-axis.

Step 3: Understanding the problem statement
The problem states that the ordinate (y-coordinate) of the other end of the line is 10. We need to determine the possible abscissa (x-coordinate) of the other end of the line.

Step 4: Determining the possible abscissa
Since we know that the line has a length of 10 units, and one end is at (-3, 2), we can determine the other end by adding or subtracting the length from the x-coordinate of the given point (-3, 2).

To find the possible abscissa, we can use the following formula:
x = x1 ± length

where x1 is the given x-coordinate (-3) and length is the length of the line (10 units).

By substituting the values, we get:
x = -3 ± 10

Simplifying the equation, we have two possible solutions:
x = -3 + 10 = 7
x = -3 - 10 = -13

Therefore, the possible abscissa of the other end of the line is 7 or -13.

Step 5: Matching the options
The given options are:
a) 9 or -3
b) -9 or -3
c) 3 or -9
d) 3 or 9

From the possible abscissa values we obtained (7 or -13), we can see that the only matching option is option c) 3 or -9.

Therefore, the correct answer is option c) 3 or -9.

Option C is correct...