Write the equation of a line in slope intercept form parallel to y=-3x+2 passing through the point (-6,3)

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