Math 50 - Section 7.1 Name Graphing Equations of Lines Instructor Date Plot Points in the Rectangular Coordinate System 1. Label each quadrant and axis in the rectangular or Cartesian coordinate system. 2. What name do we give the ordered pair (0, 0)? In Problem 3, circle one answer for each underlined choice. 3. To plot the ordered pair (-3, 2), you would move 3 units up, down, left or right from the origin? () 4. Identify the coordinates of each point labeled below. 4 . A B Determine If an Ordered Pair Satisfies an Equation 5. Determine which, if any, of the following ordered pairs satisfy the equation y = 2x + 7. (Answer yes or no in the space provided but show your work below.) (a) (1, - 5) ( b ) ( - 5 , - 3 ) 5a. 5b. 101Graph a Line by Plotting Points 6. Point-plotting is one method we use to graph a line. Find several ordered pairs that satisfy the equation. Plot the points in a rectangular coordinate system and then connect the points in a smooth curve or line. Graph the equation y = - 2x + 3 using the point-plotting method. (find at least 3 ordered pairs) X y (x, y) -1 ................. .......... ...........[ 0 2 The Meaning of b for an Equation of the Form y = mx + b 7. For the line with an equation of the formy = mx + b, the y-intercept is (0, b). Find the y-intercept. (a) y = 2x - 5 (b) y = - 4x+ 1 7a. 7b. Graph Vertical and Horizontal Lines 8. A vertical line is given by an equation of the form x = a . Graph the equation x = -3. (Show and label your x and y axes.) 9. A horizontal line is given by an equation of the form y = b where b is the y-intercept. Graph the equation y = 2. (Show and label your x and y axes.) ..........1-.. ..j... .............. 102