Answer :
The equation of the vertical line is [tex]1x+0y=3[/tex]
Explanation:
It is given that the vertical line passes through the points [tex](3,-1)[/tex]
For vertical line, the slope is undefined.
Hence, [tex]b=0[/tex]
Let us substitute the coordinate [tex](3,-1)[/tex] in the equation [tex]ax+by=c[/tex], we have,
[tex]3a+0y=c[/tex]
Simplifying, we have,
[tex]3a=c[/tex]
[tex]3=\frac{c}{a}[/tex]
where [tex]a=1[/tex] and [tex]c=3[/tex]
Substituting the values of a, b and c in the equation [tex]ax+by=c[/tex], we have,
[tex]1x+0y=3[/tex]
Thus, the equation of the vertical line is [tex]1x+0y=3[/tex]