SOLUTION: Test Algebraically whether the graph is symetrical with respect to the x-axis, the y-axis, and the origin.
6x+7y=0
Algebra ->
Graphs
-> SOLUTION: Test Algebraically whether the graph is symetrical with respect to the x-axis, the y-axis, and the origin.
6x+7y=0
Log On
Question 270183: Test Algebraically whether the graph is symetrical with respect to the x-axis, the y-axis, and the origin.
6x+7y=0 Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! 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.
------
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.
------
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.
------
Here is the graph:
(