SOLUTION: Test Algebraically whether the graph is symetrical with respect to the x-axis, the y-axis, and the origin.
6x+7y=0
Algebra.Com
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:
RELATED QUESTIONS
Determine whether x^2+y-81=0 is symmetric with respect to the x-axis, y-axis and or... (answered by math-vortex,robertb)
Determine whether the graph of y=x^3+1 is symmetric with respect to the origin
the... (answered by Theo)
Determine whether the graph of y = |x| − 3 is symmetric with respect to the origin, (answered by math_helper)
Determine whether the graph of y = x3 +1 is symmetric with respect to the origin,
the... (answered by robertb)
Determine whether the graph of the equation is symmetric with respect to the x-axis,the... (answered by Fombitz)
determine whether the graph of Y=x^2/2(x^2-16) is symmetric with respect to the x-axis,... (answered by Boreal)
Determine whether the graph of y=4x^2+1 is symmetric with respect to the x-axis, y-axis,... (answered by MathLover1)
Given the relation y = x3 – x. Determine algebraically if the graph is
a. symmetric... (answered by sofiyac)
.
Algebraically determine if the relation x + y = 0 is symmetric with respect to the... (answered by Boreal)