Chapter 6 - Linear Transformations - 6.5 Applications of Linear Transformations - 6.5 Exercises - Page 335: 4

a) $(-2,1)$ b) $(-3,-2)$ c) $(0,-a)$ d) $(-b,0)$ e) $(d,-e)$ f) $(-g,f)$

If we reflect a point $(a,b)$ to the line $y=-x$, the reflection will be $(-b,-a)$. Hence, we have: a) $(-2,1)$ b) $(-3,-2)$ c) $(0,-a)$ d) $(-b,0)$ e) $(d,-e)$ f) $(-g,f)$