6) Input \( (x) \) : a number Output \( (y): 11 \) more than 7 times \( x \) (*) Write an equation to represent the linear function.
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To express the relationship between the input \( x \) and the output \( y \), the equation can be formulated as \( y = 7x + 11 \). This means that for any value of \( x \), you multiply it by 7 and then add 11 to get the corresponding value of \( y \). This linear equation can be visualized as a straight line on a graph, where the slope is 7, indicating that for each unit increase in \( x \), \( y \) increases by 7 units. The y-intercept is 11, which tells us that when \( x = 0 \), \( y \) starts at 11 on the y-axis.