Question

Find an equation of the vertical line through (-6, -9) in the form ax+ byc, where a, b, and c are integers with no factor common to all three, and az0. The equation is (Type an equation.)

Answer 1

The equation of the vertical line through (-6, -9) is 1x+0y=-6.

Explanation:

The standard form of a line is

`ax+by=c`

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

`x=-6`

`1x+0y=-6`

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.