P7 The Cartesian Plane

Quick review of graphing, axes, quadrants, origin, point plotting

Distance Formula : derived from Pythagorean Theorem

Examples Find the distance between (-2,1) and (3, 4) Show that (2, 1), (4, 0), and (5, 7) are vertices of a right triangle.

Midpoint Formula: Example Find the midpoint of (-5, -3) and (9, 3)

1.1 Graphs of Equations Sketch these two graphs

Intercepts of the Graph X-intercept:where it crosses the x-axis Y-intercept:where it crosses the y-axis

Find the x & y intercepts

Symmetry x axis: (x.y) and (x, -y) y axis: even function (x, y) and (-x, y) Origin: odd function (x, y) and (-x, -y)

Testing for Symmetry

Use intercepts and symmetry to sketch the graph.