Final answer:
The slope of the first equation is -3/2, the y-intercept is 3. The slope of the second equation is 3/2, the y-intercept is -3.
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
For the equation 3x + 2y = 6, we need to rearrange it in slope-intercept form:
2y = -3x + 6
y = (-3/2)x + 3
So, the slope is -3/2, the y-intercept is 3.
For the equation 3x - 2y = 6, we rearrange it in slope-intercept form:
-2y = -3x + 6
y = (3/2)x - 3
So, the slope is 3/2, the y-intercept is -3.