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Intercepts

Intercepts. y -intercept: where the graph crosses the y -axis. Algebraically – set x =0 x -intercept: where the graph crosses the x -axis. Algebraically – Set y =0. Example:. Find the x - and y - intercepts of the graph. Symmetry of a Graph.

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Intercepts

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  1. Intercepts • y-intercept: where the graph crosses the y-axis. • Algebraically – set x=0 • x-intercept: where the graph crosses the x-axis. • Algebraically – Set y=0.

  2. Example: Find the x- and y- intercepts of the graph

  3. Symmetry of a Graph • The graph of an equation in x and y is symmetric with respect to the y-axis if replacing x by –x yields an equivalent equation.

  4. Symmetry of a Graph 2. The graph of an equation in x andy is symmetric with respect to the x-axis if replacing y by –y yields an equivalent equation.

  5. Symmetry of a Graph 3. The graph of an equation in xand yis symmetric with respect to the origin if replacing x by –x and y by –y yields an equivalent equation (unchanged by a rotation of 180°).

  6. Example Test the graph of for symmetry.

  7. Example Find all points of intersection of the graphs of and .

  8. Example Continued

  9. Definition of the Slope of a Line

  10. Equations of Lines

  11. Parallel and Perpendicular Lines

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