Question

What line is perpendicular to `y = -3` and passes through point (4, -6)?

Answer 1

`x=4`

Explanation:

The line that is perpendicular to `y=-3` is a horizontal line, because horizontal and vertical lines (`x`- and `y`- axes for example) are perpendicular. Therefore, this line will take the form `x=n` where `n` is the `x`-coordinate of the point passed through. The `x`-coordinate of the given ordered pair `(4,-6)` is `4`, so the equation must be `x=4`