A line has a slope of

To write the equation of a line in point-slope form, we use the formula:

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

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

Given:

• Slope (\( m \)) = \( \frac{1}{5} \)
• Point (\( (x_1, y_1) \)) = \( (1, 7) \)

Substituting these values into the point-slope formula:

\[ y - 7 = \frac{1}{5}(x - 1) \]

So, the equation of the line in point-slope form is:

\[ y - 7 = \frac{1}{5}(x - 1) \]