Point m is the midpoint of ab. the coordinates of point a are (−6, 1) and the coordinates of m are (−2, 3). what are the coordinates of point b?

the coordinates of point b are ( , ).

In analytic geometry, you can find the midpoint of a line segment just by using their coordinates. For example, if point 1 has coordinates of (x₁,y₁) and point 2 has coordinates of (x₂,y₂), the midpoint would be at point (xm, ym)

xm = (x₁+x₂)/2
ym = (y₁+y₂)/2

Applying these equations:

-2 = (-6 + x)/2
x = 2
3 = (1+y)/2
y = 5

Thus, point B has coordinates of (2,5).