To write the equation of the line in point-slope form, we first need to find the slope (m) of the line that passes through the points (-1, 3) and (2, 9). The formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the points (-1, 3) as \((x_1, y_1)\) and (2, 9) as \((x_2, y_2)\):
\[ m = \frac{9 - 3}{2 - (-1)} = \frac{6}{3} = 2 \]
Now that we have the slope \(m = 2\), we can use the point-slope form of the line equation, which is:
\[ y - y_1 = m(x - x_1) \]
We can choose either point (-1, 3) or (2, 9) to use in our equation. Let's choose the point (-1, 3):
\[ y - 3 = 2(x - (-1)) \] \[ y - 3 = 2(x + 1) \]
Thus, the equation of the line in point-slope form is:
\[ y - 3 = 2(x + 1) \]