Question

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. (1 point)
A) y − 6 = −3x − 3

B) y − 6 = −3(x + 1)

C) y = −3x + 3

D) 3x + y = 3

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

We have the point (-1, 6) and the slope m = -3. Substitute:

$y-6=-3(x-(-1))\\\\\boxed{y-6=-3(x+1)}\to\boxed{B)}$