Answer:To determine the slope (m) and y-intercept (0, b) of the line described by the equation 3x - 6y = 12, we need to rearrange the equation into slope-intercept form, which is y = mx + b.
1) Start with the given equation:
3x - 6y = 12
2) Move the 3x term to the other side of the equation:
-6y = -3x + 12
3) Divide both sides of the equation by -6 to isolate y:
y = (1/2)x - 2
4) Comparing the equation with the slope-intercept form y = mx + b, we can see that the slope (m) is 1/2 and the y-intercept (0, b) is (0, -2).
Therefore, the slope of the line is 1/2 and the y-intercept is (0, -2).
Explanation: