SOLUTION: Test Algebraically whether the graph is symetrical with respect to the x-axis, the y-axis, and the origin. 6x+7y=0

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symmetric to x means replace y with -y. We get
6x+7(-y)=0.
This is not the same as the original equation, so it is NOT symmetric to the x-axis.
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symmetric to y means replace x with -x. We get
6(-x)+7y=0.
This is not the same as the original equation, so it is NOT symmetric to the y-axis.
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symmetric to origin means replace x with -x and y with -y. We get
6(-x)+7(-y)=0.
This is the same as the original equation, so it IS symmetric to the origin.
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Here is the graph: