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
Question 3
On the grid below, draw the graph of y = 2x - 3 for values of x from -2 to 4.
(Total for Question 2 = 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
Create a Table of Values
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Answer
To draw the graph of the equation y = 2x - 3, we start by substituting the given x-values into the equation to find the corresponding y-values:
x
y
-2
-7
-1
-5
0
-3
1
-1
2
1
3
3
4
5
This table illustrates the points we will plot on the graph.
Step 2
Plot the Points
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Answer
Now we will plot the points (-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1), (3, 3), and (4, 5) on the grid provided.
Make sure to accurately mark each point to reflect its coordinates on the Cartesian plane.
Step 3
Draw the Line
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Answer
After plotting the points, we will draw a straight line through the points from x = -2 to x = 4. The line should be continuous and reflect the linear relationship given by the equation y = 2x - 3.
Ensure that the line has a positive gradient, confirming the slope of 2 (which indicates that for every increase of 1 in x, y increases by 2).
