The line is given by 3x + 6y = 8
To find the slope and the y-intercept, we must rewrite the equation in the form y = ax + b, where a is the slope and b is the y-intercept.
The first step is subtract 3x from both sides of the equation:
3x + 6y - 3x = -3x + 8
6y = -3x + 8
Then, we divide both sides by 6:
6y/6 = (-3x + 8)/6
y = -x/2 + 4/3
Therefore, the slope is -1/2 and the y-intercept is 4/3