Question 14 of 30 Use the distance formula to find the length of the segment \( A(0,2) \) to \( B(5,2) \) A. 10 B. 3 C. 4 D. 5

To find the length of the segment \( AB \), you can use the distance formula, which is \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \). Plugging in the coordinates from points A(0,2) and B(5,2), we get \( d = \sqrt{(5 - 0)^2 + (2 - 2)^2} = \sqrt{25 + 0} = \sqrt{25} = 5 \). So the length of the segment is 5. Now, let’s quickly mention that this is a horizontal line segment! Since both points share the same y-coordinate (2), the distance is purely determined by the x-values alone. In simpler terms, it's just the difference in x-coordinates (5 - 0 = 5) that gives us the distance. Keeping an eye on the coordinates can save time and make calculations super easy!