A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

Which equation represents Grant’s path?

y = 2 – 4x

y = 4 – X over 2

y = 6 – X over 4

y = 8 – 2x

The equation of Grant's path is y = 4 - x over 2 ⇒ 2nd answer

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The formula of the slope of a line is

∵ Grant's path is a line from point A to point B

∴ The equation of AB represents Grant's path

Lets find the slope of AB using the formula of the slope above

∵ A = (8 , 0)

∵ B = (-4 , 6)

∴ = 8 and = -4

∴ = 0 and = 6

∵

∴

Substitute the value of m in the form of the equation

∵ y = m x  + b

∴ y = x + b

∵ b is the value of y at x = 0

∵ y = 4 at x = 0 ⇒ from the figure

∴ b = 4

∴ y = x + 4

We can write x as

∴ y =   + 4

- Switch the two terms of the right hand side

∴ y = 4 -  

The equation of Grant's path is y = 4 -  

it would be 6xy and -16xy.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.