Find normal vector from equation of a line with only X or Y

369 Views Asked by At

I have a very basic question but I can not wrap my head around it.

We use this formula for the equation of a straight line:

$$Ax + By = Ax_0 + By_0$$

Where $A$ and $B$ are the $x$ and $y$ coordinates of a normal vector and $x_0$ and $y_0$ are coordinates of a given point on the line.

$$\begin{array}{c} \mathbf n(A;B)\\ P(x_0;y_0)\end{array}$$

Usually we have something like:

$$2x-3y = 7$$

And we know that the coordinates of this line's normal vector are $2$ and $-3$.

But now, I have this linear equation:

$$ x-8.4 = 0$$

How do I get the coordinates of this line's normal vector as there is no $Y$ value?

1

There are 1 best solutions below

4
On

What if you wrote it as $1x + 0y = 8.4$