Show that the line represented by equation $x = a y + b, z = c y + d$ in symmetrical form is $\frac{x - b}{a} = \frac{y}{1} = \frac{z - d}{c}$

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Solution

$x = a y + b, z = c y + d ∴ \frac{x - b}{a} = y, \frac{z - d}{c} = y ∴ \frac{x - b}{a} = \frac{y}{1} = \frac{z - d}{c}$

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