Chapter 5.5, Problem 2STP

For Exercises $1-4,$ choose the correct letter.

Which of the following is an equation of a vertical line?

F. $4x+5y=0$

G. $-4=16x$

H. $3y=-9$

I. $4x+5y=-1$

To determine

The equation of a vertical line.

Answer to Problem 2STP

Option G is the correct answer.

Explanation of Solution

Given information :

Given options are,

   F. $4x+5y=0$      G. $-4=16x$      H. $3y=-9$      I. $4x+5y=-1$

On a graph, vertical line is always parallel to $y$ -axis.

Hence the equation of the line is in the form $x=c$ where $c$ is any constant.

From the given options we can observe that the equation in option G may be written as,

  $\begin{array}{l}-4=16x\\ x=\frac{-4}{16}=-\frac{1}{4}\end{array}$

Where value of $c=-\frac{1}{4}$

Hence option G is the correct answer.