In the equation \( y = x + \frac{3}{2} \), the slope is represented by the coefficient of the independent variable \( x \). Here, the slope is 1, which indicates that for each additional week (x) that passes, the height of the sunflower (y) increases by 1 foot.
The correct response regarding the context would be:
The sunflower's height increases by an additional 1 foot each week.