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To find the slope of the line, we use the two given points on the line: \((2, 4)\) and \((6, 2)\).

The formula for slope \(m\) is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substitute \((x_1, y_1) = (2, 4)\) and \((x_2, y_2) = (6, 2)\):
\[
m = \frac{2 - 4}{6 - 2} = \frac{-2}{4} = -\frac{1}{2}
\]

### Answer:
The slope of the line is \(-\frac{1}{2}\).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How do we interpret a negative slope in terms of direction?
2. How would you find the equation of the line given the slope and one point?
3. What is the slope-intercept form of a line, and how does it relate to this problem?
4. If another line has the same slope as this one, what does that imply about the two lines?
5. How would the slope change if one of the points were moved vertically?

**Tip:** Remember, a negative slope indicates that as \(x\) increases, \(y\) decreases, resulting in a downward-sloping line.

Learn how to find the slope of a line passing through the points (2, 4) and (6, 2) on a coordinate plane. This problem explores the concept of slope and involves using the slope formula to calculate a negative slope of -1/2. Suitable for Grade 8 students studying coordinate geometry.

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