Nrite an equation of the line passing through $(-3,6)$ and having slope -6 . Give the answer in slope-intercept

Step 1 ：The equation of a line in slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y-intercept.

Step 2 ：We are given that the slope \(m\) is -6 and the line passes through the point \((-3,6)\). We can substitute these values into the equation to find the y-intercept \(b\).

Step 3 ：Substituting the values we get \(m = -6\) and \(b = -12\).

Step 4 ：Now that we have the slope and the y-intercept, we can substitute these values into the slope-intercept form of the equation to get the equation of the line.

Step 5 ：Substituting the values we get \(m = -6\) and \(b = -12\) into the equation, we get \(y = -6x -12\).

Step 6 ：Final Answer: The equation of the line passing through \((-3,6)\) and having slope -6 is \(\boxed{y = -6x -12}\).