The point-slope form of the equation of a line is given by:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope, and \((x_1, y_1)\) is a point on the line.
In this case, the slope \( m \) is \(-3\) and the point \((x_1, y_1)\) is \((-14, 8)\).
Plugging these values into the point-slope formula gives:
\[ y - 8 = -3(x - (-14)) \]
Simplifying this, we have:
\[ y - 8 = -3(x + 14) \]
So the linear equation in point-slope form is:
\[ y - 8 = -3(x + 14) \]