Unit 3: Graphing and the Coordinate Plane Lesson 1: Review of the coordinate plane A: What is the coordinate plane? On the grid to the right: 1) Label the x and y axes. 2) Label the four quadrants. 3) Where is x positive? Where is x negative? 4) Where is y positive? Where is y negative? 1 B: Plotting points in the plane Coordinate of a point: (x, y) On the grid to the right, plot the following points. 1. I(3, 5) 2. A(2, 5) 3. G(6, 0) 4. M(4, 0) 5. N(4, 3) 6. J(5, 8) 7. S(0, 5) 8. X(0, 2) Lesson 2: The Equation of a Line 2 A: Equation of a line Equation of a line: y = mx + b m represents slope Slope measures the steepness and direction of a line. b represents yintercept The yintercept is where the line cross the yaxis. 1) Write the equation of a line with a slope of 6 and a y intercept of 3. B: Equation of a line Formula for slope: Givens points and : There are four types of slope: positive negative zero undefined 3 Find of the slope of the line containing each pair of points. Identify what type of slope each line has. 1. (4, 6) and (5, 3) 2. (3, 6) and (5, 7) 3. (4, 7) and (9, 7) 4. (5, 9) and (5, 2) D: Writing the Equation of a Line Given Slope and a Point 1) Find the equation of the line with slope of 3 and that contains the point (2, 4) 2) Find the equation of the line with slope of ¾ and that contains the point (8, 7) 4

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