In this exercise youll derive a useful formula for the
Chapter 1, Problem 94(choose chapter or problem)
In this exercise youll derive a useful formula for the (perpendicular) distance d from the point (x0, y0) to the line y mx b. The formula is (a) Refer to the figure. Use similar triangles to show that Therefore, d AB/21 m2 .(b) Check that AB AC BC y0 mx0 b. (c) Conclude from parts (a) and (b) that For the general case (in which the point and line may not be situated as in our figure), we need to use the absolute value of the quantity in the numerator to ensure that AB and d are nonnegative. 95.
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