The line has slope is .

The line passes through the point .

The point slope form of a line equation is.

Substitute .

The line equation is .

(a) Find the distance between line and as a function of .

The perpendicular distance between line and a point is .

The line equation is .

The point is .

Substitute , , and in .

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(b)

Graph:

Graph the equation .

(c) Find and .

Consider .

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.

As approaches to , the distance approaches .

Consider .

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As approaches to , the distance approaches .

(a) .

(b)

Graph:

Graph the equation .

(c) and .

As approaches to , the distance approaches .