Graphs of Equations In Two Variables; Intercepts; Symmetry

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Presentation transcript:

Graphs of Equations In Two Variables; Intercepts; Symmetry 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 (b) (2, 0) (c) (1, 3)

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Find the x-intercept(s) and the y-intercept(s) of the graph of 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)

x-Axis: y-Axis: Origin: Not equivalent so not symmetric with respect to the x-axis. IS equivalent so symmetric with respect to the y-axis. y-Axis: Not equivalent so not symmetric with respect to the origin. Origin: