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

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

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

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

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.

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.

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

Test the following equation for symmetry. 1.)

Test the following equation for symmetry. 2.)

Test the following equation for symmetry. 3.)

Test the following equation for symmetry. 4.)

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

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

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

Graph the equation. 1.)2.)

Graph the equation using intercepts. 3.)

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

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

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

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

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

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

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.