Write each of the following expressions without using absolute value.
|y−x|, if y>x
|6m–54|, if m<9
|x−7|=x−7
Write the absolute value equation if it has the following solutions.
Hint: Your equation should be written as |x−b|=c. (Here b and c are some numbers.)

One solution: x=−4.1.

Karianne and lucius are analyzing a linear function on a graph. karianne says that unit rate is equal to rate of change, but that slope is calculated differently. lucius says that unit rate, rate of change, and slope are calculated the same way. who is correct? explain your answer.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label

In a graph with several intervals o data how does a constant interval appear? what type of scenario produces a constant interval?