Question

Draw the x-axis and y-axis and the line l with equation $y=-x$. Plot several points and their images under $R_l$. What is the image of $\left(a,b\right)$?

Short answer

The given equation is $y=-x$

The given point is $\left(a,b\right)$

Step-by-step solution

Step 1. Given Information.

The given equation is $y=-x$

The given point is $\left(a,b\right)$

Step 2. Calculation.

Therefore, the graph can be obtained as,

Let us assume that the point is $\left(-4,4\right)$ then the image of the point is $\left(4,4\right)$ about the x-axis.

Step 3. Conclusion.

The mirror image of the points are given in the graph.