Chapter 3.4, Problem 37E

To determine

Whether the equation of horizontal and vertical lines can be written in standard forms.

Answer to Problem 37E

Yes.

Explanation of Solution

The equations of horizontal and vertical lines are:

  $\begin{array}{l}x=a\\ \text{and}\\ y=b\end{array}$

The standard form equation is $ax+by=c$

Hence, the equations of horizontal and vertical lines can be written as:

  $\begin{array}{l}\left(1\right)x+\left(0\right)y=a\\ \text{and}\\ \left(0\right)x+\left(1\right)y=b\end{array}$

Hence, the equation of horizontal and vertical lines can be written in standard forms.