1. Identify the slope from the given line:
y = -3x + 2
Here, \( m = -3 \).
2. Use the point-slope formula with the slope and the point \((-6, 3)\):
y - y_1 = m(x - x_1)
3. Substitute the values:
y - 3 = -3(x + 6)
4. Distribute and simplify:
y - 3 = -3x - 18
5. Solve for \( y \):
y = -3x - 15
Answer:
y = -3x - 15