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Quiz Chapter 10: Gradient of a Straight Line

10 questions · Form 2 Mathematics Bab 10: Gradient of a Straight Line

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

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

2. Find the gradient of the line passing through (-4, -2) and (2, 1).

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

m = 1 - (-2)2 - (-4) = 1 + 22 + 4 = 36 = 0.5.

3. A ramp rises 3 meters vertically over a horizontal distance of 12 meters. What is the gradient of the ramp?

  1. 0.25
  2. 4
  3. 0.75
  4. 0.2
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Answer: A

Gradient = Vertical distance / Horizontal distance = 312 = 0.25.

4. Which of the following lines is the steepest?

  1. Gradient = -5
  2. Gradient = 3
  3. Gradient = -1
  4. Gradient = 0.5
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Answer: A

Steepness depends on the absolute value of the gradient. |-5| = 5 is the largest absolute value.

5. What is the formula to calculate the gradient of a line passing through (x1, y1) and (x2, y2)?

  1. y2 - y1x2 - x1
  2. x2 - x1y2 - y1
  3. y2 + y1x2 + x1
  4. y2 - x2y1 - x1
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Answer: A

Gradient m is defined as the vertical change divided by the horizontal change: y2 - y1x2 - x1.

6. What is the gradient of a vertical line parallel to the y-axis?

  1. Undefined
  2. 0
  3. 1
  4. Infinite
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Answer: A

A vertical line has zero horizontal change (x2 - x1 = 0), causing division by zero, which makes the gradient undefined.

7. What is the gradient of any horizontal line?

  1. 0
  2. 1
  3. Undefined
  4. -1
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Answer: A

A horizontal line has zero vertical change (y2 - y1 = 0), so its gradient is 0.

8. Find the gradient of the 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

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

9. Points C(2, 7) and D(2, -3) lie on the same straight line. The gradient of line CD is:

  1. Undefined
  2. 0
  3. 10
  4. 1
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Answer: A

x-coordinates are identical (x = 2), forming a vertical line. Thus, the gradient is undefined.

10. A straight line has an x-intercept of -3 and a y-intercept of -6. Calculate its gradient.

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

m = -(y-intercept / x-intercept) = -(-6 / -3) = -(2) = -2.

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