Chapter 14.2, Problem 34WE

To determine

To calculate the equation from the given points.

Answer to Problem 34WE

The equation is obtained as,

$y=c$

Explanation of Solution

Given information:

The given points are $\left(4,0\right)\text{ and }\left(4,\text{ 6}\right)$

Concept used:

  $\begin{array}{l}y=mx+c\\ \text{where}\\ m=\frac{y_2-y_1}{x_2-x_1}\end{array}$

Calculation:

The line of the given points can be obtained as,

$\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{6-0}{4-4}\\ m=\frac{6}{0}\\ m=\infty \\ y=\frac{6}{0}x+c\left[\text{where c is constant}\right]\\ x=0\end{array}$

Therefore, the equation is obtained as,

  $x=0$