Answer
Intercepts- ($\frac{2}{3}$,0), (0,2)
No symmetry
Work Step by Step
Find Intercepts:
x-int
0=2-3x
x=$\frac{2}{3}$
y-int
y=2-3(0)
y=2
Find Symmetry:
Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis.
y=2-3(-x)
y=2+3x
Equations are not equivalent, so not symmetric to y-axis.
Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis.
(-y)=2-3x
y=3x-2
Equations are not equivalent, so not symmetric to x-axis.
Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin.
(-y)=2-3(-x)
y=-2-3x
Equations are not equivalent, so not symmetric to origin.
