A line has a slope of

1
8
and passes through the point (9,4). What is its equation in point-slope form?

1 answer

The point-slope form of the equation of a line is given by 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 that the slope \( m = \frac{1}{8} \) and the point \((x_1, y_1) = (9, 4)\), we can substitute these values into the point-slope formula:

\[ y - 4 = \frac{1}{8}(x - 9) \]

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