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Interpreting the Slope and -Intercept of
The linear equation models a woman's estimated height in inches, , based on her shoe size, . Since the equation is in slope-intercept form (), we can identify the slope as and the -intercept as . In this context, the slope of indicates that the estimated height increases by inches for every unit increase in shoe size. The -intercept of signifies that a hypothetical person wearing a women's shoe size of would have an estimated height of inches. Evaluating the equation for a shoe size of yields a height of inches. To graph this relationship, one can plot the -intercept at and use the slope () to count up units and right unit to find a second point.
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