The point-slope form of a linear equation is given by 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.
In this case, the point is \( (−14, 8) \) and the slope \( m \) is \( −3 \).
Plugging in these values, we have:
\[ y - 8 = -3(x - (-14)) \]
This simplifies to:
\[ y - 8 = -3(x + 14) \]
Thus, the correct response is:
y - 8 = -3(x + 14)