We know that the slope of the perpendicular bisector is the opposite reciprocal of the slope containing the two given points.

Therefore, the slope of the line containing the two given points is 1/2.

Using 1/2 as the slope, we use the slope formula to find the value of m.

=> slope = (difference in y values) / (difference in x values)

=> 1/2 = ( 2 - 8) / ( m - 6 )

= > m = - 6

**The value of m is - 6.**