Question

Given below is a rectangle ABCD, with side AB parallel to the z-axis.

Find the equation of line BD.
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B (3, 2)

Answer 1

x = 3

Explanation:

You want the equation of vertical line BD that includes point B(3, 2).

Equation of a line

The equation of a vertical line is ...

x = c . . . . . . for some constant c

Since we want the line to go through a point B(3, 2) with x-coordinate 3, that is the value the constant must have.

x = 3 . . . . . the equation of line BD

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Additional comment

Ordinarily, this rectangle would be named ABDC, with the vertices named in order around the figure.