The area of the triangle formed by the x and y axes and the line x - y = 8 has to be determined. The x and y axes are perpendicular to each other and the line x - y = 8 is the equation of the hypotenuse.

To determine...

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The area of the triangle formed by the x and y axes and the line x - y = 8 has to be determined. The x and y axes are perpendicular to each other and the line x - y = 8 is the equation of the hypotenuse.

To determine the area the x and y intercepts need to be determined.

x - y = 8 has an x intercept of 8 and a y intercept of -8.

This gives the area of the triangle as (1/2)*8*8 = 32

**The area of the triangle formed by the line x - y = 8 and the x and y axes is 32 square units.**