Lesson C1

C1 Straight lines and gradients Quiz: AQA Maths, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson C1, Straight lines and gradients: 20 multiple choice questions for the AQA Maths (7357), Unit 3: Coordinate geometry, written with Revision Ninja.

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The 20 questions

  1. What is the gradient of the line through (1, 2) and (4, 11)?

    • 1/3
    • 3
    • 9
    • -3

  2. Which form of a straight line is y - y1 = m(x - x1)?

    • Point-gradient form
    • Parametric form
    • Intercept form
    • Gradient-intercept form

  3. What condition do two parallel lines satisfy?

    • Their gradients multiply to -1
    • Their gradients sum to zero
    • They have equal y-intercepts
    • They have equal gradients

  4. What is the gradient of a line perpendicular to y = 2x - 1?

    • -1/2
    • 2
    • 1/2
    • -2

  5. What is the equation of the line through (2, 3) with gradient -2?

    • y = 2x - 1
    • y = -2x + 3
    • y = -2x - 1
    • y = -2x + 7

  6. Write the line through (2, 3) with gradient -2 in the form ax + by + c = 0.

    • 2x + y - 7 = 0
    • x + 2y - 7 = 0
    • 2x - y - 1 = 0
    • 2x + y + 7 = 0

  7. Find the equation of the line through (1, 2) perpendicular to 3x - y = 4.

    • y - 2 = -(1/3)(x - 1)
    • y + 2 = -(1/3)(x + 1)
    • y - 2 = 3(x - 1)
    • y - 2 = (1/3)(x - 1)

  8. What is the distance between the points (0, 0) and (3, 4)?

    • 5
    • 25
    • sqrt(7)
    • 7

  9. A line passes through (2, -1) and (6, 7). What is its equation?

    • y = 2x - 5
    • y = 2x + 3
    • y = x - 3
    • y = -2x + 3

  10. Where does the line y = 3x - 2 cross the x-axis?

    • x = 2/3
    • x = 3/2
    • x = -2/3
    • x = -2

  11. A parking charge is C = 0.25m + 12 pounds for m minutes. What is the fixed charge?

    • £12.25
    • £12
    • £0.25
    • £20

  12. A straight-line graph of distance (km) against time (hours) has gradient 60. What does 60 represent?

    • A speed of 60 km/h
    • An acceleration of 60 km/h^2
    • A time of 60 hours
    • A distance of 60 km

  13. The line through (0, 5) and (5, 0) passes through (2, k). What is k?

    • k = 2
    • k = 4
    • k = 5/2
    • k = 3

  14. For the line 4x - 2y + 6 = 0, what are the gradient and y-intercept?

    • Gradient -2, y-intercept 3
    • Gradient 2, y-intercept 3
    • Gradient 2, y-intercept -3
    • Gradient 1/2, y-intercept -3

  15. Find the point where the lines 2x + y = 7 and x - y = 2 intersect.

    • (3, -1)
    • (3, 1)
    • (2, 3)
    • (1, 3)

  16. Are the lines y = 3x + 1 and 6x - 2y = 5 parallel?

    • No, the gradients differ
    • Yes, both have gradient 3
    • No, one passes through the origin
    • Yes, both pass through (0, 1)

  17. For what value of k are the lines y = kx + 3 and 2x + 4y = 1 perpendicular?

    • k = -1/2
    • k = 1/2
    • k = 2
    • k = -2

  18. Find the line through (-1, 4) parallel to 3x + 2y = 6.

    • 3x - 2y + 11 = 0
    • 3x + 2y - 6 = 0
    • 3x + 2y - 5 = 0
    • 2x + 3y - 10 = 0

  19. The line y = 2.4x + 15 is a model. What value of x gives y = 39?

    • 9.6
    • 12
    • 10
    • 24

  20. Points A(1, 2) and B(5, 6) lie on a line through C(k, 0). What is k?

    • k = 1
    • k = -3
    • k = -1
    • k = 3

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