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(1,1). The midpoint between 6 & -4 is 1, and the midpoint between -2 and 4 is 1. The equation for this line is y = -0.6*x + 1.6, by the way. Check that (1,1) lies on the line.
centre is the midpoint of the line → centre = ((-2 + 6)/2, (8 + 4)/2) = (2, 6)
If R = (xr, yr) and P = (xp, yp) then the midpoint is [(xr + xp)/2, (yr + yp)/2].
Midpoint of (3, -6) and (-5, 2) = [(3-5)/2, (-6+2)/2] = (-1, -2)
Endpoints: (1, -6) and (-3, 4) Midpoint: (-1, -1)