1. The equation that models the total amount of money y you pay if you buy x yards of fabric with a $5-off coupon is y = 7.50x - 5.
2. The graph of this equation would be a straight line with a slope of 7.50 and a y-intercept of -5.
The coupon discount for the purchase of fabric = $5
The unit cost per yard of fabric = $7.50
Let the number of yards of fabric purchased = x
Let the total amount of money paid for x yards = y
Equation:
y = 7.5x - 5
In the graph, the slope is 7.5 and the y-intercept is -5. The line would start at (0, -5) on the y-axis and increase by 7.50 for every yard of fabric purchased on the x-axis.