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a phone company charges for service according to the formula c of n is equal to 24 plus 0.1 n where n is the number of minutes talked and c of n is the monthly charge in dollars find and interpret the rate of change and initial value okay so lets first start with the general uh equation of a linear line y is equal to m x plus b okay now generally speaking we know that m represents the slope right slope and b represents the y-intercept okay so in terms of linear equations and economics right these variables take on i dont want to say different meanings but they they take on theres additional context to them okay so the slope we can think of is basically the rate of change okay its the rate of change of the function so instead of thinking about slope you can add a little richer detail its also known as the rate of change so slope is equal to the rate of change right a rate of change you know like is change in y over change in x right its the rate at which its changing the greater