Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3. a. y − 6 = −3x − 3 b. y − 6 = −3(x + 1) c. y = −3x + 3 d.3x + y = 3

Point slope form of the equation can be written as follows
y - y₁ = m (x - x₁)
y and x are the 2 variables , m is the slope and x₁ and y₁ are the respective coordinates for the given point
in this format a point of a line and the slope of the line are given. using this information we can write down the point - slope formula for the graph
since a point has been given we know the x₁ and y₁ coordinates.
These are the coordinates of the given point (-1,6)
x₁ = -1
y₁ = 6
slope has been given as -3, m = -3
substituting these values in the formula, 
y - y₁ = m (x - x₁)
y - 6 = -3 (x - (-1))
y - 6 = -3 (x + 1)
answer is B.