Question

A line has a slope of
–
1
9
and passes through the point (8,3). What is its equation in point-slope form?

Answer 1

To write the equation of a line in point-slope form, you can 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, \( m = -\frac{1}{9} \)
- Point, \((x_1, y_1) = (8, 3)\)

Plugging in these values into the point-slope formula:

\[
y - 3 = -\frac{1}{9}(x - 8)
\]

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

\[
y - 3 = -\frac{1}{9}(x - 8)
\]