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The table below shows the depth of water in a bathtub as it is being filled over time. The data can be modeled by a linear equat
ion where x is the elapsed time in minutes and y is the depth of the water in inches. What does the y-intercept of the linear equation that models the data indicate?
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We need to leave m alone on the right hand side, so let's move everything else to the left hand side.
First of all, we can subtract b from both sides to get
Now, we can divide both sides by c to get
And so we solved the expression for m, because we have written an expression in the form , where the right hand side doesn't depend on m.