The table below shows the number of stitches a sewing machine makes in different numbers of seconds. Suppose each pair of values were plotted on a coordinate plane, with the number of seconds represented by the x-axis and the number of stitches represented by the y-axis. If a line were drawn through the points, which of these would be a point on the line?

To determine which point would lie on the line defined by the given data points, we first need to find the equation of that line. Given the points we have, we can use the two points (9, 180) and (11, 220) to first calculate the slope \( m \) of the line.

The formula for the slope \( m \) is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{220 - 180}{11 - 9} = \frac{40}{2} = 20
\]

Now that we have the slope, we can use the point-slope form of the equation of a line \( y - y_1 = m(x - x_1) \) using point (9, 180):

\[
y - 180 = 20(x - 9)
\]

Expanding this gives:

\[
y - 180 = 20x - 180
\]
\[
y = 20x
\]

Now we have the equation of the line, \( y = 20x \). We can use this linear equation to check which of the given points lies on the line.

1. **Point A (10, 200)**:
\[
y = 20(10) = 200 \quad \text{(This point lies on the line)}
\]

2. **Point B (13, 240)**:
\[
y = 20(13) = 260 \quad \text{(This point does not lie on the line)}
\]

3. **Point C (18, 340)**:
\[
y = 20(18) = 360 \quad \text{(This point does not lie on the line)}
\]

4. **Point D (25, 480)**:
\[
y = 20(25) = 500 \quad \text{(This point does not lie on the line)}
\]

Thus, the only point that lies on the line is **A. (10, 200)**.