A line with a slope of

Question

1
7
passes through the point (2,9).
What is its equation in point-slope form?

Answer 1

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.