To write the linear equation in point-slope form, we use the formula:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
Given the point \((-14, 8)\) (where \(x_1 = -14\) and \(y_1 = 8\)) and the slope \(m = -3\), we substitute these values into the point-slope formula:
\[ y - 8 = -3(x - (-14)) \]
Simplifying this, we have:
\[ y - 8 = -3(x + 14) \]
Thus, the linear equation in point-slope form is:
\[ y - 8 = -3(x + 14) \]