\( 1 \leftarrow \quad \) (a) Find the slope of the line and (b) interpret the slope.
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Extra Insights
To find the slope of a line given in the form of an equation like \(1 \leftarrow \quad\), which seems to suggest a specific value or point rather than a standard line equation, we may instead consider the equation format \(y = mx + b\) where \(m\) represents the slope. For a concrete example, if the equation were \(y = 2x + 1\), the slope \(m\) would be 2. This means that for every unit increase in \(x\), \(y\) increases by 2 units. Interpreting the slope can provide insights into the relationship between the two variables. A slope of 2 indicates a positive and relatively steep increase, suggesting a strong direct correlation where as one variable rises, the other does too, doubling its change. This is useful in contexts such as economics or physics where understanding rates of change is crucial.