### Section 1.2

```Section 1.2
Graphs of Equations In
Two Variables;
Intercepts; Symmetry
Determine if the following points are on the graph of the
equation  3x +y = 6
(a) (0, 4)
3 0  4  4  6
(b) (2, 0)
(c) (1, 3)
3 2  0  6
3 1  3  3  3  6












.
Find the x-intercept(s) and the y-intercept(s)
2
of the graph of y  x  4 then graph by
plotting points.
If a graph is symmetric with respect to the x-axis
and the point (3,2) is on the graph, what other
point is also on the graph?

(3,2)



  








(3,2)


If a graph is symmetric with respect to the y-axis
and the point (3,2) is on the graph, what other
point is also on the graph?


( 3, 2)
(3,2)


  










If a graph is symmetric with respect to the origin
and the point (3,2) is on the graph, what other
point is also on the graph?


(3,2)


  







( 3,  2)



x2  9
Test y  2
for symmetry.
x 2
x2  9
x-Axis:  y  2
x 2
2

x
9


y-Axis: y 
2
x  2
x  9
2
Origin:  y 
x
2
2
Not equivalent so not symmetric with respect
to the x-axis.
IS equivalent so symmetric with respect to
the y-axis.
Not equivalent so not symmetric with respect
to the origin.