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The given problem asks for the equation of a line in point-slope form that passes through the point \( (2, 1) \) and has a slope of \( m = 2 \).

The point-slope form of the equation of a line is given by:

\[
y - y_1 = m(x - x_1)
\]

Where:
- \( m \) is the slope of the line,
- \( (x_1, y_1) \) is the point on the line.

For this problem, we have:
- \( m = 2 \),
- \( (x_1, y_1) = (2, 1) \).

Substituting these values into the point-slope form:

\[
y - 1 = 2(x - 2)
\]

This is the equation of the line in point-slope form.

Would you like further details or have any questions about this?

Here are 5 related questions you might consider:
1. How can you convert this point-slope equation into slope-intercept form?
2. What is the significance of the slope in a line's equation?
3. How do you find the slope between two given points?
4. How does changing the slope value affect the graph of the line?
5. How can you determine if a point lies on a given line?

**Tip:** The point-slope form is very useful when you know one point on a line and its slope, especially for quickly writing the equation of the line!

Write an equation in point-slope form of the line that passes through the point (2, 1) and has a slope of m = 2.

Learn how to write the equation of a line in point-slope form that passes through the point (2, 1) and has a slope of 2. This problem involves basic algebraic concepts and linear equations, suitable for students in Grades 8-10.

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