Question

Point A has coordinates (-13,-7). Point B has coordinates (1,17). What are the coordinates of the midpoint of line AB ?

Answer 1

The coordinates of the midpoint of line AB with endpoints A(-13, -7) and B(1, 17) are calculated using the midpoint formula to be (-6, 5).

Step-by-step explanation:

The midpoint of a line segment in the Cartesian plane with endpoints A and B can be found using the midpoint formula, which is as follows:

(x1 + x2)/2, (y1 + y2)/2

For the given points A(-13, -7) and B(1, 17), the coordinates of the midpoint can be calculated step-by-step:

1. Add the x-coordinates of A and B: (-13 + 1) / 2 = -12 / 2 = -6
2. Add the y-coordinates of A and B: (-7 + 17) / 2 = 10 / 2 = 5
3. Combine these to get the midpoint's coordinates: (-6, 5)

Therefore, the coordinates of the midpoint of line AB are (-6, 5).