Bot GPT 4-o mini To write the equation of a line in point-slope form, we use the formula:
\[ y - y_1 = m(x - x_1) \]
where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope.
In this case, the slope \( m \) is \( \frac{1}{7} \) and the point \( (x_1, y_1) \) is \( (2, 9) \).
Substituting these values into the formula, we get:
\[ y - 9 = \frac{1}{7}(x - 2) \]
This is the equation of the line in point-slope form.
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