The equation of the line is 2x + y = 4.
To find the equation of a line given a point and its slope, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
In this case, the given point is (6, -8) and the slope is -2. Plugging these values into the point-slope form, we get: y - (-8) = -2(x - 6).
Simplifying the equation further, we have: y + 8 = -2x + 12.
Finally, let's rewrite the equation in standard form, Ax + By = C: 2x + y = 4.