Answer:
C. y + 7 = -7(x - 3)
Explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where m is the slope and (x₀, y₀) is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
y + 7 = -7(x - 3)