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Quiz Chapter 10: Gradient of a Straight Line

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

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Full Question List & Answer Key

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

1. 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.

2. 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.

3. If two non-vertical lines are parallel, what can be said about their gradients m1 and m2?

  1. m1 = m2
  2. m1 * m2 = -1
  3. m1 = -m2
  4. m1 + m2 = 0
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Answer: A

Parallel lines have the same steepness and direction, so their gradients are equal (m1 = m2).

4. Calculate the gradient of the line passing through P(-1, 5) and Q(3, -3).

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

m = -3 - 53 - (-1) = -84 = -2.

5. 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.

6. Find the gradient of the line passing through origin O(0, 0) and point K(-6, 18).

  1. -3
  2. 3
  3. -0.33
  4. 0.33
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Answer: A

m = 18 - 0-6 - 0 = 18 / -6 = -3.

7. What does a negative gradient indicate about a line?

  1. The line slants downwards from left to right
  2. The line slants upwards from left to right
  3. The line is completely horizontal
  4. The line is completely vertical
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Answer: A

A negative gradient means that as x increases, y decreases, so the line slants downwards from left to right.

8. A straight line connects (0, -4) and (5, 0). Find its gradient.

  1. 0.8
  2. -0.8
  3. 1.25
  4. -1.25
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Answer: A

m = 0 - (-4)5 - 0 = 45 = 0.8.

9. Points E(-5, 4) and F(3, 4) lie on the same straight line. The gradient of line EF is:

  1. 0
  2. Undefined
  3. 1
  4. 0.5
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Answer: A

y-coordinates are identical (y = 4), forming a horizontal line. Thus, the gradient is 0.

10. 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.

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