Question: A line with slope m passes through the point (0, 4) and has the equation y = mx + 4. (a) Write the distance d

A line with slope m passes through the point (0, 4) and has the equation y = mx + 4.

(a) Write the distance d between the line and the point (3, 1) as a function of m.

(b) Use a graphing utility to graph the function d in part (a). Based on the graph, is the function differentiable at every value of m? If not, where is it not differentiable?

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