To find the distance of a point from the origin, we need to apply the distance formula, which is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) represents the coordinates of the origin, and (x2, y2) represents the coordinates of the given point.



In this case, the coordinates of the origin are (0, 0), and the coordinates of the given point are (5, -12). So, we can substitute the values into the formula as follows:

d = √((5 - 0)² + (-12 - 0)²)
d = √(25 + 144)
d = √169
d = 13

Therefore, the distance of the given point from the origin is 13 units.



The result tells us that the given point is located 13 units away from the origin. This means that if we draw a line from the origin to the given point, the length of that line would be 13 units. We can also say that the given point is closer to the origin than some other points that are located farther away.