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2.2: Do Now: Determine if the following point is on the graph. 1.) 2.)

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Academy Algebra II 2.2: Graph of Equations in Two Variables; Intercepts; Symmetry HW: p.171-172 (12, 18, 27, 39, 42, 45, 51-54 all)

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Graph the equation. (By hand & on calculator.) 1.)2.)

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Find the x-intercept(s) and y-intercept(s) of the graph. 1.)2.)

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Symmetry a.) A graph with b.) A graph with c.) A graph with x-axis symmetry y-axis symmetry origin symmetry for every (x,y) the for every (x,y) the for every (x,y) the point (x,-y) is also point (-x,y) is also point (-x,-y) is also on the graph. on the graph. on the graph.

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Test Symmetry a.) To test for symmetry with respect to the x-axis, replace y with –y and simplify. If an equivalent equation results, then the graph has x-axis symmetry. b.) To test for symmetry with respect to the y-axis, replace x with –x and simplify. If an equivalent equation results, then the graph has y-axis symmetry. c.) To test for symmetry with respect to the origin, replace x with –x and y with –y and simplify. If an equivalent equation results, then the graph has origin symmetry.

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Academy Algebra II 2.2: Finish HW: p.172 (56, 59, 61, 68)

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Test the following equation for symmetry. 1.)

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Test the following equation for symmetry. 2.)

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Test the following equation for symmetry. 3.)

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Test the following equation for symmetry. 4.)

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2.3 - Do Now: slope Find the slope of the line passing through (1, 2) and (5, -3).

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Academy Algebra II 2.3: Lines HW: p.185-186 (13, 22, 26, 29, 32, 40, 48, 53, 58, 90, 91)

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Draw a graph of the line that passes through the given point with the given slope.

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Graph the equation. 1.)2.)

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Graph the equation using intercepts. 3.)

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Writing equations of lines. Slope-intercept form: Point-slope form: Standard form:

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Find the slope and y-intercept of the equation. 2x + 4y = 8

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Write an equation of the line with the following: 1.) Slope = 2, y-intercept = 5. 2.) Passing through (1, 2), slope = 4.

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Write an equation of the line with the following: 3.) Horizontal line passing through (3, 2). 4.) Passing through (2, 3) and (-4, 5).

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Parallel and Perpendicular Lines How do you know if lines are parallel? How do you know if lines are perpendicular?

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Parallel and Perpendicular Lines 1.) Show that the lines are parallel: 2.) Show that the lines are perpendicular:

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Write an equation of the line with the following: 1.) Passes through (2, -3) and parallel to 2x + y = 6. 2.) Passes through (1, -2) and perpendicular to x + 3y = 6.

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