A line has a slope of


1
9
and passes through the point (8,3). What is its equation in point-slope form?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
9 hours ago

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:

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