1. **Stating the problem:** We have a right triangle on the coordinate plane with vertices at (0, 60), (90, 0), and (0, 0). The line forming the hypotenuse has the equation $$y = 60 - \frac{2}{3}x$$. 2. **Understanding the problem:** The triangle is bounded by the x-axis, y-axis, and the line $$y = 60 - \frac{2}{3}x$$. We want to analyze this triangle, possibly to find its area or understand the relationship between x and y. 3. **Formula for the area of a triangle:** The area $$A$$ of a right triangle is given by $$ A = \frac{1}{2} \times \text{base} \times \text{height} $$ Here, the base is along the x-axis from 0 to 90, so base = 90. The height is along the y-axis from 0 to 60, so height = 60. 4. **Calculate the area:** $$ A = \frac{1}{2} \times 90 \times 60 = \frac{1}{2} \times 5400 = 2700 $$ 5. **Interpreting the line equation:** The line equation $$y = 60 - \frac{2}{3}x$$ shows how y decreases as x increases, starting from y=60 when x=0, down to y=0 when x=90. 6. **Summary:** - The triangle's area is 2700 square units. - The line equation relates the number of tickets sold at the door (x) and in presale (y). This can be used to model ticket sales where $$x$$ and $$y$$ satisfy $$y = 60 - \frac{2}{3}x$$ and the total tickets sold correspond to points on or below this line within the triangle.