An objective function represents a family of parallel lines.

Question

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An objective function is a mathematical expression that represents the goal of an optimization problem. In the case of parallel lines, the objective function would be a linear equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept. All lines with the same slope are parallel, so an objective function that represents a family of parallel lines would have the same slope for all of its lines.

An Objective Function Represents a Family of Parallel Lines