Hello there. To solve this question, we'll have to determine in which quadrant is the point A located at.
For this, we have to remember some properties about the R² plane:
It is divided by two perpendicular lines, namely origin for x = 0 and the y-axis, into 4 quadrants. Their orientation is counterclockwise, called positive orientation.
There is a rule of signs that helps you remember the quadrants:
Therefore we can determine the location of the point A easily.
As you can see, the coordinates of the point A are (-4, 5) and, therefore, it means the point A is located at the second quadrant.
The correct answer is then contained in the option B).