Question

What is the equation of a line, in general form, with a point (-3, 0) and an undefined slope?

Answer 1

-3/0 because the line is undefined

Answer 2

`x+3=0`

Explanation:

We need to find the equation of a line, in general form, with a point (-3, 0) and an undefined slope.

Point = (-3,0)

Slope = Undefined =
`(1)/(0)`

Since slope is undefined, therefore the given line is a vertical line.

The equation of a vertical line is x=a, where (a,0) is the x-intercept.

Slope is undefined and x-intercept is (-3,0), so the equation of line is

`x=-3`

Add 3 on both sides.

`x+3=-3+3`

`x+3=0`

Therefore, the equation in general form is x+3=0.