The x-intercept is 12 and represents the number of pieces and the y-intercept is 48 and represents the initial length.
A straight line on the coordinate plane is represented by a linear function.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given function,
y = 48 - 4x
At x-intercept, y = 0
48 - 4x = 0
x = 12
Since x is the number of cuts so it represents that we can cut 12 pieces.
At y-intercept , x = 0
y = 48
Since 48 is the initial length so it represents the initial length.
Hence "The beginning length is represented by the y-intercept, which is 48, and the number of pieces is represented by the x-intercept, which is 12".
For more about the linear function,
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