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Quiz Chapter 9: Straight Lines

10 questions · Form 3 Mathematics Bab 9: Straight Lines

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. If a line has an x-intercept of 4 and a y-intercept of 8, what is its gradient?

  1. -2
  2. 2
  3. -0.5
  4. 0.5
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Answer: A

Gradient m = -(y-intercept / x-intercept) = -(84) = -2.

2. Which of the following lines is parallel to y = -2x + 7?

  1. 2y = -4x + 1
  2. y = 2x + 7
  3. y = 0.5x + 3
  4. 2x - y = 5
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Answer: A

Simplify 2y = -4x + 1 to y = -2x + 0.5. Since its gradient is -2, it is parallel to y = -2x + 7.

3. Find the gradient of the straight line passing through points A(2, 3) and B(6, 11).

  1. 2
  2. 4
  3. 0.5
  4. 3
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Answer: A

Gradient m = 11 - 36 - 2 = 84 = 2.

4. What is the equation of the line passing through the origin (0,0) with gradient -4?

  1. y = -4x
  2. y = x - 4
  3. x = -4y
  4. y = -4
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Answer: A

A line passing through the origin has y-intercept c = 0. Substituting m = -4 gives y = -4x.

5. Which point lies on the straight line y = 2x - 3?

  1. (1, 1)
  2. (2, 1)
  3. (3, 2)
  4. (0, 3)
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Answer: B

Substitute x = 2 into y = 2(2) - 3 = 4 - 3 = 1. The point (2, 1) satisfies the equation.

6. What is the gradient of the line 3x + 4y = 12?

  1. 34
  2. -34
  3. -43
  4. 3
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Answer: B

Rearrange 3x + 4y = 12 to y = mx + c: 4y = -3x + 12 => y = (-34)x + 3. Thus, gradient m = -34.

7. A straight line passes through (0, 6) and has a gradient of 3. What is its equation?

  1. y = 3x + 6
  2. y = 6x + 3
  3. y = 3x - 6
  4. y = -3x + 6
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Answer: A

The point (0, 6) gives y-intercept c = 6. With gradient m = 3, the equation is y = 3x + 6.

8. What is the equation of a vertical line passing through the point (5, -3)?

  1. y = -3
  2. x = 5
  3. y = 5x - 3
  4. x = -3
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Answer: B

All points on a vertical line share the same x-coordinate, so its equation is x = 5.

9. What is the y-intercept of the line 2y = 6x - 10?

  1. -10
  2. -5
  3. 3
  4. 5
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Answer: B

Convert 2y = 6x - 10 to standard form y = mx + c by dividing by 2: y = 3x - 5. The y-intercept c is -5.

10. The gradient of line AB is -35. What is the ratio of its vertical height to its horizontal distance?

  1. 3 : 5
  2. 5 : 3
  3. -3 : -5
  4. 1 : 1
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Answer: A

Gradient magnitude |m| = vertical distance / horizontal distance = 35, which represents a ratio of 3 : 5.

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