STRAIGHT LINE COORDINATES

• What is the purpose of using a table of values when plotting a straight line on a graph?


  To find corresponding y values for given x values to create coordinates along the line
• What is the equation given in the example for plotting a straight line?


  y = -\frac{1}{2}x + 4
• How do you find the y value for a given x value using the equation y = 2x + 3?


  By substituting the x value into the equation
• What steps are involved in plotting the graph of y = 2x + 3?


  1. Create a table with x values in the first row and y values in the second.
  2. Choose easy x values within the graph's range (e.g., -2, 0, 2).
  3. Calculate corresponding y values using the equation.
  4. Plot the coordinates and join them to form the line.
• What x values are suggested for the equation y = 2x + 3?


  • 2, 0, and 2
• Why should x values be chosen carefully when plotting a graph?


  To ensure they fit within the range of the graph
• What is the y value when x = -2 in the equation y = 2x + 3?


  • 1
• What is the y value when x = 0 in the equation y = 2x + 3?


  3
• What is the y value when x = 2 in the equation y = 2x + 3?


  7
• What are the coordinates obtained from the equation y = 2x + 3 for x values -2, 0, and 2?


  • (-2, -1)
  • (0, 3)
  • (2, 7)
• What is the equation given for the second graph to be drawn?


  y + \frac{1}{2}x = 4
• What is the specified range for x values in the second graph?


  From -4 to 6
• How do you rearrange the equation y + \frac{1}{2}x = 4 into the form y = mx + c?


  By subtracting \frac{1}{2}x from both sides
• What is the y value when x = -2 in the rearranged equation y = -\frac{1}{2}x + 4?


  5
• What is the y value when x = 0 in the rearranged equation y = -\frac{1}{2}x + 4?


  4
• What is the y value when x = 2 in the rearranged equation y = -\frac{1}{2}x + 4?


  3
• What are the coordinates obtained from the equation y + \frac{1}{2}x = 4 for x values -2, 0, and 2?


  • (-2, 5)
  • (0, 4)
  • (2, 3)
• What should you do after plotting the coordinates on the graph?


  Join them with a straight line and extend it to the specified x range
• Why is it recommended to find three points when drawing a straight line?


  To verify accuracy in case one point is incorrect
• What should you do if the three points do not lie on a single straight line?


  Recalculate the y values to find the incorrect one
• What is the final step after drawing the line on the graph?

  • Label the line with its equation.
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