3. Find an equation of the line that contains the points (-4, -5) and (2, -5). Write your answer in slope intercept form. Circle your final answer. y = - 5 horizontal line 4. Write an approximate equation of the line that passes through the two given points. Round the slope and y-intercept to one decimal place. Write your answer in slope intercept form. (1.23, 3.62) and (2.41, -7.82). Circle your final answer. 59 4 = 1 - 210 ) x + ( 1918 . 1475 5. The equation given below models the worldwide jewelry sales (in billions of dollars) by year since 2000. The variable s represents jewelry sales, the variable t represents years since 2000. s = 26t - 38 a. Show that the point (13, 300) in on the line and interpret this point in a sentence. b. What is the slope of the line? Interpret the slope in a sentence. 106Math 50 - Sections 7.2 and 7.3 Name Rate of Change and Slope of a Line Instructor Using Slope to Graph Equations of Lines and Date_ Linear Models Show all work to receive partial credit, circle your final answers 1. The number of U.S. cable subscribers increased approximately steadily from 54.3 million subscribers in 2009 to 61.8 million subscribers in 2014. Find the approximate rates of change of the number of U.S. cable T.V. subscribers. Write your final answer in a sentence. 2. Find the slope of the line passing through the two points and state whether the line is increasing, decreasing, horizontal or vertical. a. (1, 3) and (4, 9) b. (-1, 4) and (6, -8) Slope = Slope = increasing, decreasing, horizontal or increasing, decreasing, horizontal or vertical. vertical. c. (3, 1) and (3, 7) d. (-1, 4) and (2, 4) Slope = Slope = increasing, decreasing, horizontal or increasing, decreasing, horizontal or vertical. vertical. 1033. For the fall semester 2014, part-time students at Centenary College paid $585 per credit unit (or hours) for tuition and paid a mandatory part-time student fee of $15 per semester. Let T be the total cost (in dollars) of tuition and the fee when taking c units (or hours) of courses. a. Identify the explanatory and response variables. b. Find the slope of the linear model. What does it mean in this situation (briefly explain in a sentence). c. Find an equation of the linear model, write your answer in slope intercept form. d. What was the total one-semester cost of tuition plus part-time student fee for 8 credits of classes? (Write your final answer in a sentence.) e. Graph the model. (Clearly indicate your axes and scale.) 104Math 50 - Section 7.1 Graphing Equations of Lines Name 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. B_ 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.) (b) ( - 5 , - 3 ) 5a. (a) (1, - 5) 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.) 102