To write the equation of the line in slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept, we can identify the necessary components from Tyreek's savings scenario.
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Initial Amount (y-intercept, b): Tyreek starts with $10.75. This is his savings at week 0. Therefore, \( b = 10.75 \).
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Rate of Savings (slope, m): Tyreek saves $15.50 per week. This represents the slope of the line, so \( m = 15.50 \).
Now we can substitute these values into the slope-intercept form of the equation:
\[ y = mx + b \]
Substituting \( m \) and \( b \):
\[ y = 15.50x + 10.75 \]
Thus, the equation that represents Tyreek's savings is:
\[ y = 15.50x + 10.75 \]
So, the equation in slope-intercept form is:
\(\displaystyle y=15.50x+10.75\)
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