Question 33 of 49beginner🔧 ApplyNumerical2 marks

Identify other points on the line by completing the following table. | x | 1 | 2 | 5 | 7 | 9 | 12 | 20 | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | y | 3 | | | 15 | | | |

Correct Answer

y values: 3, 5, 11, 15, 19, 25, 41

Exercise: Think and Reflect | Q: 1 | (Page 13)
For More Understanding

Explanation

The context identifies the equation of the line as y = 2x + 1. To find the missing y-coordinates for the given x-values, we substitute each x-value into the equation. For example, when x = 2, y = 2(2) + 1 = 5. Following this for all missing values completes the table.

Solution Steps

  1. Step 1: Identify the equation: The line is given by y = 2x + 1.

  2. Step 2: Substitute x = 2: y = 2(2) + 1 = 4 + 1 = 5

  3. Step 3: Substitute x = 5: y = 2(5) + 1 = 10 + 1 = 11

  4. Step 4: Substitute x = 9: y = 2(9) + 1 = 18 + 1 = 19

  5. Step 5: Substitute x = 12: y = 2(12) + 1 = 24 + 1 = 25

  6. Step 6: Substitute x = 20: y = 2(20) + 1 = 40 + 1 = 41

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