Question

Stuck in it 3 days ago, please some help. It's a literal equation question.

Answer 1

`d= √( (x_2 - x_1)^2 + (y_2 - y_1)^2 )`

`d^2= (x_2 - x_1)^2 + (y_2 - y_1)^2 }`

`d^2 - (x_2 - x_1)^2 = (y_2 - y_1)^2 }`

`|y_2 - y_1| = √( d^2 - (x_2 - x_1)^2)`

Let's assume y₂ ≥ y₁. This is wrong; we shouldn't assume that; the question writers did this problem incorrectly. But we'll continue to get the answer they want you to choose.

`y_2 - y_1 = √( d^2 - (x_2 - x_1)^2)`

`y_2 = y_1 + √( d^2 - (x_2 - x_1)^2)`

Answer: A

The real answer is none-of-the-above. It's bad when the teachers who write these questions don't really know what they're doing.

The correct answer is y₂ is ambiguous:

`y_2 = y_1 \pm √( d^2 - (x_2 - x_1)^2)`