Chapter 9.5, Problem 39PPS

To determine

To graph the function and state whether it has line symmetry and/or rotational symmetry also write the equation of any lines of symmetry.

Answer to Problem 39PPS

Line symmetry and rotational symmetry.

  $y=-x$ , Order $2$ and magnitude ${180}^{\circ }$ .

Explanation of Solution

Given:

The given equation is -

  $y=x$

Calculation:

The graph of the given equation is as follows-

  

The given equation is the equation of straight line passing through the origin.

It has one line of symmetry and the equation of line of symmetry is $y=-x$

The figure has rotational symmetry of order $2$ and magnitude $360/2={180}^{\circ }$ .