Question

What is the slope of `2x = -8`?

Answer 1

Divide by 2...

`x = -4`

There is no finite answer. The slope is `oo` because `Deltay` goes from `-oo` to `oo`, even when `Deltax = 0`. That means `Deltay = oo`.

`(Deltay)/(Deltax) = oo/0 = oo * 1/0 = oo * oo = oo`

Imagine a line of slope 1 (`y =x`). Now imagine the slope increasing towards `oo`. That would mean the line rotates counterclockwise until it becomes perfectly vertical. That is the line `x = a`. Here, `a = -4`.