The slope-intercept form of a linear equation is given by:
\[ y = mx + b \]
where:
- \( y \) is the total amount of savings,
- \( m \) is the slope (the amount saved per week),
- \( x \) is the number of weeks,
- \( b \) is the y-intercept (the initial amount of savings).
In this case:
- The initial amount Tyreek has is $10.75, so \( b = 10.75 \).
- The amount Tyreek saves per week is $15.50, so \( m = 15.50 \).
Substituting these values into the slope-intercept form, we get:
\[ y = 15.50x + 10.75 \]
Thus, the equation in slope-intercept form that represents Tyreek's savings in terms of weeks is:
\[ y = 15.50x + 10.75 \]