What is the rewritten form of the equation y = absolute value of (ax - b)?

The equation ( y = |ax - b| ) can be rewritten to highlight the transformation being applied to the variable ( x ). The absolute value function modifies the expression inside it, and one way to express this in a different form is by factoring out the coefficient ( a ) from the term ( ax - b ).

If we factor out ( a ) from ( ax ), we express ( ax - b ) as ( a(x - b/a) ). This means we are looking at how ( x ) is transformed based on changes in both the slope (represented by ( a )) and the intercept (which can be derived from ( b/a )).

Thus, when the rewritten form is expressed as ( y = |a(x - b/a)| ), it encapsulates the absolute value of the whole expression, which is the original equation. Therefore, the rewritten form indeed is ( y = |a(x - b/a)| ), closely relating to the absolute value notation and how the linear components of the expression interact through transformation.

This reasoning aligns with the answer given, making it the appropriate choice. The rewritten form neatly encapsulates the transformation in terms of its constituent parts and clarifies the role of