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Question Number 215919 by abdelsalam last updated on 21/Jan/25

$$Isabsolutevalueofxlinearequation?$$$$$$

Commented by A5T last updated on 21/Jan/25

$$\mathrm{General}\mathrm{linear}\mathrm{equation}:\mathrm{y}=\mathrm{mx}+\mathrm{c}$$$$\mathrm{where}\mathrm{m}\mathrm{is}\mathrm{the}\mathrm{constant}\mathrm{slope}$$$$\mathrm{For}\mid \mathrm{x}\mid ,\mathrm{the}\mathrm{slope}\mathrm{is}\mathrm{not}\mathrm{constant},\mathrm{so}\mathrm{it}\mathrm{is}\mathrm{not}$$$$\mathrm{linear}-\mathrm{but}\mathrm{it}\mathrm{could}\mathrm{be}‘‘{\mathrm{divided}}^{″}\mathrm{into}\mathrm{linear}\mathrm{parts}.$$$$\mid \mathrm{x}\mid =\{\begin{array}{l}\mathrm{x}\mathrm{when}\mathrm{x}⩾0\\ -\mathrm{x}\mathrm{when}\mathrm{x}<0\end{array}$$$$\mathrm{So},\mathrm{the}\mathrm{slope}\mathrm{is}\mathrm{not}\mathrm{constant},\mathrm{could}\mathrm{be}1\mathrm{or}-1.$$

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