Which equation is perpendicular to y-3=4(x+5) and passes through 4,-3)? Ay= -1/4X-2
C. Y= 4X-2
B. Y= -1/4x+4
D. Y= 4x+4 Ο Α .

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

Step-by-step explanation: