Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 299: 89

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Step 1. To test symmetry with respect to the x-axis, replace $(x,y)$ with $(x,-y)$, we have: $6(x)+(-y)=4$ which is different from the original, thus it is not symmetric with respect to the x-axis. Step 2. To test symmetry with respect to the y-axis, replace $(x,y)$ with $(-x,y)$, we have: $6(-x)+(y)=4$ which is different from the original, thus it is symmetric not with respect to the y-axis. Step 3. To test symmetry with respect to the origin, replace $(x,y)$ with $(-x,-y)$, we have: $6(-x)+(-y)=4$ which is different from the original, thus it is not symmetric with respect to the origin. Step 4. Thus the equation has no symmetry with respect to the x-axis, the y-axis, or the origin.