Answer:
The equation would be y = -1/2x + 4
Explanation:
To find this line, start with the slope. To find the slope, solve the equation for y.
4x + 8y = 16
8y = -4x + 16
y = -1/2x + 2
Since it is parallel to the first line and parallel lines have the same slope, we know the slope to be -1/2. Given this we can use point-slope form and solve for y to get the equation.
y - y1 = m(x - x1)
y - 6 = -1/2(x + 4)
y - 6 = -1/2x - 2
y = -1/2x + 4