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WJEC GCSE Maths

Topic questions Pure mathematics Gradient and intercept

Gradient and intercept

14 questions · 42 marks · about 1 hour

Gradient and intercept questions

TopicGradient and intercept

WJEC 3300 Gradient and intercept 14 questions

Unit 1: Non-calculator June 2025 Intermediate tier, Question 16, also on the Higher paper 3 marks

The diagram below shows the graph of a straight line for values of x from –2 to 2.

Figure for question 16
(a)

Write down the gradient of the straight line in the diagram.

[1]
Reveal mark scheme Mark scheme for question 16(a)
(b)

Write down the equation of the straight line in the form y = mx + c, where m and c are

whole numbers.

[1]
Reveal mark scheme Mark scheme for question 16(b)
(c)

Write down the equation of a different straight line that is parallel to the straight line in

the diagram.

[1]
Reveal mark scheme Mark scheme for question 16(c)

Unit 1: Non-calculator June 2025 Higher tier, Question 5, also on the Intermediate paper 3 marks

The diagram below shows the graph of a straight line for values of x from –2 to 2.

Figure for question 5
(a)

Write down the gradient of the straight line in the diagram.

[1]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Write down the equation of the straight line in the form y = mx + c, where m and c are

whole numbers.

[1]
Reveal mark scheme Mark scheme for question 5(b)
(c)

Write down the equation of a different straight line that is parallel to the straight line in

the diagram.

[1]
Reveal mark scheme Mark scheme for question 5(c)

Unit 2: Calculator-allowed June 2024 Intermediate tier, Question 15, also on the Higher paper 2 marks

The equation of a straight line is y = −3 x + 7.

(a)

What is the gradient of the line?

Circle the correct answer.

Question 15, shown as an image
[1]
Reveal mark scheme Mark scheme for question 15(a)
(b)

What are the coordinates of the point where the line intersects the y-axis?

Circle the correct answer.

(− 3, 7)
(0, − 3)
(0, 3)
(0, − 7)
(0, 7)

[1]
Reveal mark scheme Mark scheme for question 15(b)

Unit 2: Calculator-allowed June 2024 Higher tier, Question 5, also on the Intermediate paper 2 marks

The equation of a straight line is y = −3 x + 7.

(a)

What is the gradient of the line?

Circle the correct answer.

Question 5, shown as an image
[1]
Reveal mark scheme Mark scheme for question 5(a)
(b)

What are the coordinates of the point where the line intersects the y-axis?

Circle the correct answer.

(− 3, 7) (0, − 3) (0, 3)
(0, − 7) (0, 7)

[1]
Reveal mark scheme Mark scheme for question 5(b)

Unit 1: Non-calculator November 2022 Intermediate tier, Question 18, also on the Higher paper 5 marks

Also involves Rearranging formulae

The diagram below shows the graph of a straight line for values of x from –1 to 3.

Figure for question 18
(a)
(a)(i)

Write down the gradient of the line above.

[1]
Reveal mark scheme Mark scheme for question 18(a)(i)
(a)(ii)

Write down the equation of the line in the form y maths symbol mx maths symbol c.

[2]
Reveal mark scheme Mark scheme for question 18(a)(ii)
(b)

Show that the lines

y = 3 x − 8 and 2 y − 6 x = 23

are parallel to each other.

[2]
Reveal mark scheme Mark scheme for question 18(b)

Unit 1: Non-calculator November 2022 Higher tier, Question 5, also on the Intermediate paper 5 marks

The diagram below shows the graph of a straight line for values of x from –1 to 3.

Figure for question 5
(a)
Reveal mark scheme Mark scheme for question 5(a)
(a)(i)

Write down the gradient of the line above.

[1]
Reveal mark scheme Mark scheme for question 5(a)(i)
(a)(ii)

Write down the equation of the line in the form y maths symbol mx maths symbol c.

[2]
Reveal mark scheme Mark scheme for question 5(a)(ii)
(b)

Show that the lines

y = 3 x − 8 and 2 y − 6 x = 23

are parallel to each other.

[2]
Reveal mark scheme Mark scheme for question 5(b)

Unit 2: Calculator-allowed November 2018 Intermediate tier, Question 15, also on the Higher paper 3 marks

(a)

What is the gradient of the straight line with equation 6 y = 3 x + 7 ?

Circle the correct answer.

Question 15, shown as an image
[1]
Reveal mark scheme Mark scheme for question 15(a)
(b)

What is the value of y at the point where the line 5x + y + 3 = 0 crosses the y-axis?

Circle the correct answer.

Question 15, shown as an image
[1]
Reveal mark scheme Mark scheme for question 15(b)
(c)

What are the coordinates of the point where the lines with equations x + y = 7 and x − y = 3 intersect?

Circle the correct answer.

(4, 3)
(7, 4)
(5, 2)
(3, 7)
(−5, 2)

[1]
Reveal mark scheme Mark scheme for question 15(c)

Unit 2: Calculator-allowed November 2018 Higher tier, Question 6, also on the Intermediate paper 3 marks

(a)

What is the gradient of the straight line with equation 6 y = 3 x + 7 ?

Circle the correct answer.

Question 6, shown as an image
[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

What is the value of y at the point where the line 5x + y + 3 = 0 crosses the y-axis?

Circle the correct answer.

Question 6, shown as an image
[1]
Reveal mark scheme Mark scheme for question 6(b)
(c)

What are the coordinates of the point where the lines with equations x + y = 7 and x − y = 3 intersect?

Circle the correct answer.

(4, 3)
(7, 4)
(5, 2)
(3, 7)
(−5, 2)

[1]
Reveal mark scheme Mark scheme for question 6(c)

Unit 1: Non-calculator June 2017 Intermediate tier, Question 13 3 marks

(a)
Figure for question 13
[1]
Reveal mark scheme Mark scheme for question 13(a)
(b)
Figure for question 13
[1]
Reveal mark scheme Mark scheme for question 13(b)
(c)
Figure for question 13

What is the gradient of the line shown in the graph above?

Circle your answer.

Question 13, shown as an image
[1]
Reveal mark scheme Mark scheme for question 13(c)

Unit 1: Non-calculator June 2017 Higher tier, Question 4 3 marks

(a)
Figure for question 4

Which one of the following equations could represent the line shown in the graph above?

Circle your answer.

y = – x – 2 y = – x + 2 y = x + 2 y = x – 2 y = – x.

[1]
Reveal mark scheme Mark scheme for question 4(a)
(b)

Which one of the following points lies on the line 2y = 3x + 4?

Circle your answer.

(2, –5) (5, 2) (–2, 5) (2, 5) (–2, –5)

[1]
Reveal mark scheme Mark scheme for question 4(b)
(c)
Figure for question 4

What is the gradient of the line shown in the graph above?

Circle your answer.

Question 4, shown as an image
[1]
Reveal mark scheme Mark scheme for question 4(c)

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