Write equation in slope form

y+3= -3(x-6)

To write the equation in slope-intercept form (y = mx + b), we need to simplify the given equation (y + 3 = -3(x - 6)) and solve for y.

First, let's distribute -3 to both terms inside the parentheses:

y + 3 = -3x + 18

Next, let's move 3 to the right side of the equation by subtracting it from both sides:

y = -3x + 18 - 3

Simplifying further:

y = -3x + 15

Now our equation is in slope-intercept form, where the coefficient of x (-3) is the slope, and the constant term (15) is the y-intercept.