Answer:
The equation of the vertical line through (-6, -9) is 1x+0y=-6.
Step-by-step explanation:
The standard form of a line is
[tex]ax+by=c[/tex]
where a, b, and c are integers with no factor common to all three, and a>0.
If a vertical line passes through the point (a,b), then the equation of vertical line is x=a.
It is given that the vertical line passes through the point (-6,-9). Here a=-6 and b=-9, so the equation of the vertical line through (-6, -9) is
[tex]x=-6[/tex]
[tex]1x+0y=-6[/tex]
The standard form of the line is 1x+0y=-6. where the value of a,b c are 1, 0, -6 respectively.
Therefore the equation of the vertical line through (-6, -9) is 1x+0y=-6.