\( A ( - 7,5 ) , B ( 5,9 ) \)

Did you know that the coordinates of points A (-7, 5) and B (5, 9) can tell you a lot about their position on a Cartesian plane? For instance, A is located in the second quadrant where x is negative and y is positive, while B is in the first quadrant, where both coordinates are positive. This simple distinction hints at the unique positions of points in geometric configurations! If you’re trying to find the distance between these two points, a common mistake is forgetting to correctly apply the distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). Just plug in the coordinates: \(d = \sqrt{(5 - (-7))^2 + (9 - 5)^2}\) and voila! You’ll get an accurate measurement of how far apart they are.