Chapter 14.2, Problem 30WE

To determine

To calculate the image line of the given equation.

Answer to Problem 30WE

The image line of the given equation is obtained as,

$y=-2x+3$

Explanation of Solution

Given information:

The given equation is $y=2x+3$

Concept used:

When the equation is reflected about the y-axis $\left(x,y\right)$ becomes $\left(-x,y\right)$

Calculation:

The image line of the given equation can be obtained as,

Replacing $x$ with $-x$ in the given equation

  $\begin{array}{l}y=2\cdot (-x)+3\\ y=-2x+3\end{array}$

Therefore,

The image line of the given equation is obtained as,

$y=-2x+3$