Question

Please Help! The point (8, -2) satisfies the equation of which line? (1) y+2=2(x+8) (2) y-2=2(x-8) (3) y+2=2(x-8) (4) y-2=2(x+8)

Answer 1

`\boxed{y+2=2(x-8) }`

Explanation:

`x=8`

`y=-2`

`\sf Check \ the \ third \ option.`

`-2+2=2(8-8)`

`\sf Both \ sides \ must \ be \ equal.`

`0=2(0)`

`0=0`

Answer 2

(3) y+2=2(x-8)

Explanation:

Substitute the point into the equation and see if it is true

(8,-2)

(1) y+2=2(x+8)

-2+2 = 2(8+8)

0 = 2(16)

False

(2) y-2=2(x-8)

-2-2 = 2(8-8)

-4 =2 (0)

False

(3) y+2=2(x-8)

-2+2 = 2( 8-8)

0 = 2(0)

True

(4) y-2=2(x+8)

-2-2 = 2(8+8)

-4 = 2(16)

False