Did you know?
Did you know that in geometry, points can be used to represent specific locations on a coordinate plane? In the given text, the coordinates of A are (-4, -7) and the coordinates of B are (12, 5). Here are some interesting facts about these points:
1) Did you know that a point exists on line AB that divides it in the ratio 3:7? This means that if you measure the distance from A to this point and then from this point to B, the ratio of these distances will be 3:7.
2) Here's an intriguing fact: There is a point on the coordinate plane that is three times as close to A as it is to B. In other words, if you measure the distance from this point to A and then compare it to the distance from this point to B, you will find that the former is three times smaller than the latter.
3) Fascinatingly, point B divides line AC in the ratio 1:3. This signifies that the distance from A to B is one-fourth the distance from B to C. To find the coordinates of C, we can use this ratio and work backwards from the coordinates of A and B to determine the coordinates of point C.
