\( \left. \begin{array} { l l l l l l l l } { 91 } & { y = - x + \frac { 7 } { 8 } } & { } & { } & { } & { - } & { 1 } \\ { x } & { - 3 } & { - 2 } & { - 1 } & { 0 } & { 1 } & { 2 } & { 3 } \end{array} \right. \)
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The Deep Dive
To solve the equation \( y = -x + \frac{7}{8} \), you can graph it. The slope of -1 means that for every unit increase in \( x \), \( y \) decreases by 1 unit. It intercepts the y-axis at \( \frac{7}{8} \), which is just slightly under 1. Drawing this line on a coordinate plane will help visualize how it descends as \( x \) increases. In real-world situations, equations like this can model various relationships, such as supply and demand where one variable inversely affects another. Understanding this relationship can help in fields like economics—predicting trends based on price changes. Using the equation, businesses can adjust their strategies based on the predicted results of price changes on sales or inventory levels!
