Answer
No symmetry
Work Step by Step
Testing symmetry with respect to $x$-axis:
$$-y=-3x+7$$ $$y=3x-7$$
Since the resulting equation is not the same as the original equation, the equation is not symmetric with respect to $x$-axis.
Testing symmetry with respect to $y$-axis:
$$y=-3(-x)+7$$ $$y=3x+7$$
Since the resulting equation is not the same as the original equation, the equation is not symmetric with respect to $y$-axis.
Testing symmetry with respect to origin:
$$-y=-3(-x)+7$$ $$-y=3x+7$$ $$y=-3x-7$$
Since the resulting equation is not the same as the original equation, the equation is not symmetric with respect to origin.
The sketch of the graph is as shown.
