Question

Find an equation of the vertical line through (3 comma negative 1 )in the form axplusbyequals​c, where​ a, b, and c are integers with no factor common to all​ three, and agreater than or equals0.

Answer 1

The equation of the vertical line is
`1x+0y=3`

Step-by-step explanation:

It is given that the vertical line passes through the points
`(3,-1)`

For vertical line, the slope is undefined.

Hence,
`b=0`

Let us substitute the coordinate
`(3,-1)` in the equation
`ax+by=c`, we have,

`3a+0y=c`

Simplifying, we have,

`3a=c`

`3=(c)/(a)`

where
`a=1` and
`c=3`

Substituting the values of a, b and c in the equation
`ax+by=c`, we have,

`1x+0y=3`

Thus, the equation of the vertical line is
`1x+0y=3`