Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b ) a point on the line
y - 3 = - 4(x + 2) ← is in point- slope form
with slope m = - 4
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular} [/tex] = - [tex]\frac{1}{m} [/tex] = - [tex]\frac{1}{-4} [/tex] = [tex]\frac{1}{4} [/tex]
Using (a, b ) = (- 5, 7 ) , then
y - 7 = [tex]\frac{1}{4} [/tex] (x - (- 5) ) , that is
y - 7 = [tex]\frac{1}{4} [/tex] (x + 5) → B
