Answer:
A
Step-by-step explanation:
y - 3 = 4(x+5)
Let's convert the point-slope equation to y-intercept form: y = mx + b
Distribute the 4 to the equation inside the parenthesis
y - 3 = 4x + 20
Add 3 to both sides
y - 3 = 4x + 20
+ 3 + 3
y = 4x + 23
The slope of this equation is 4, meaning our equation's slope will have to be -1/4 to be perpendicular
y = -1/4x + b
Plug in the given x and y
-3 = -1/4(4) + b
-3 = -1 + b
Add 1 to both sides
-3 = -1 + b
+ 1 + 1
b = -2
y = -1/4x - 2
