The x and y intercepts of the line 3x - 8y = 16 have to be determined. A linear equation can be written in the form `x/a +y/b =1` where a is the x-intercept and b is the y-intercept.

Rewriting the given equation:

3x - 8y = 16

=> `(3x)/16 - (8y)/16 = 1`

=> `x/(16/3) - y/(16/8) = 1`

=> `x/(16/3) + y/(-2) = 1`

**The x-intercept is `16/3` and the y-intercept is -2**

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