To find the slope of the line represented by the equation 4x + 2y = 12, we need to rearrange this equation into the slope-intercept form, which is y = mx + b, where m represents the slope.
1. Start with the original equation:
4x + 2y = 12
2. Subtract 4x from both sides:
2y = -4x + 12
3. Now, divide every term by 2 to isolate y:
y = -2x + 6
Now that we have the equation in the slope-intercept form, we can see that the coefficient of x is the slope (m).
Thus, the slope of the line is -2.