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Question Number 97929 by bobhans last updated on 10/Jun/20
Find equation of line through A(1,2,3)  and parallel to y axis ?
$$\mathrm{Find}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{line}\:\mathrm{through}\:\mathrm{A}\left(\mathrm{1},\mathrm{2},\mathrm{3}\right) \\ $$$$\mathrm{and}\:\mathrm{parallel}\:\mathrm{to}\:\mathrm{y}\:\mathrm{axis}\:?\: \\ $$
Commented by mr W last updated on 10/Jun/20
((x−1)/0)=((y−2)/1)=((z−3)/0)  or  x=1  y=t  z=3
$$\frac{{x}−\mathrm{1}}{\mathrm{0}}=\frac{{y}−\mathrm{2}}{\mathrm{1}}=\frac{{z}−\mathrm{3}}{\mathrm{0}} \\ $$$${or} \\ $$$${x}=\mathrm{1} \\ $$$${y}={t} \\ $$$${z}=\mathrm{3} \\ $$

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