The equation of a line in point-slope form is expressed as:

$y - y_1 = m(x - x_1)$

where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line.

Given:

• Point: $(2, 1)$
• Slope: $m = 2$

Substitute these values into the formula:

$y - 1 = 2(x - 2)$

Thus, the equation in point-slope form is:

$y - 1 = 2(x - 2)$

Let me know if you'd like further clarification or details.

Related Questions

1. How do you convert point-slope form to slope-intercept form?
2. What does the slope represent in a real-world context?
3. Can we find the x- or y-intercepts from the point-slope form?
4. How does point-slope form differ from standard form?
5. What happens if the slope $m$ is zero?

Tip

Always double-check your substitutions in formulas to avoid simple errors in calculations!