Correct Answer: Option A

Explanation

The line y = 4 is a horizontal line in the Cartesian plane. The distance from any point( x, y) to this line is given by d = | y - 4| and this distance to be equal to k

| y - 4 | = k

case1, y - 4 = k, y = k + 4 ⇒ 4 + k 

case2, y - 4 = - k, y = - k + 4 ⇒ 4 - k 

combining the two solutions above, we have y = 4 \(\pm\) k 

There is an explanation video available below.

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