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On the grid below, draw the graph of y = 2x - 3 for values of x from -2 to 4 - Edexcel - GCSE Maths - Question 3 - 2019 - Paper 2

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On the grid below, draw the graph of y = 2x - 3 for values of x from -2 to 4. (Total for Question 2 is 3 marks)

Worked Solution & Example Answer:On the grid below, draw the graph of y = 2x - 3 for values of x from -2 to 4 - Edexcel - GCSE Maths - Question 3 - 2019 - Paper 2

Step 1

Calculate y-values for given x-values

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Answer

To construct the graph of the equation y=2x3y = 2x - 3, we need to calculate the corresponding y-values for the specified x-values in the range from -2 to 4. Here’s a table of values:

xy = 2x - 3
-2-7
-1-5
0-3
1-1
21
33
45

Step 2

Plot the points on the grid

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Answer

Using the calculated y-values, plot the points on the grid:

  • For x = -2, plot the point (-2, -7)
  • For x = -1, plot the point (-1, -5)
  • For x = 0, plot the point (0, -3)
  • For x = 1, plot the point (1, -1)
  • For x = 2, plot the point (2, 1)
  • For x = 3, plot the point (3, 3)
  • For x = 4, plot the point (4, 5)

Ensure the points are accurately represented on the grid.

Step 3

Draw the line

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Answer

Once the points are plotted, connect them with a straight line. This line should extend through the plotted points and align correctly to reflect the linear relationship in the equation. Make sure to clearly indicate that this is a line with a positive gradient, as the slope of the line is 2.

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