What is the point-slope equation of a line with slope -4 that contains the point (-2, 7)?

a. y + 7 = -4(x + 2)
b. y - 7 = -4(x - 2)
c. y + 7 = -4(x - 2)
d. y - 7 = -4(x + 2)

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 2, 7), thus

y - 7 = - 4(x - (- 2)), that is

y - 7 = - 4(x + 2) → D