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Quiz Chapter 10: Gradient of a Straight Line

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

Question 1 of 10Score: 0

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

Full Question List & Answer Key

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

1. 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.

2. 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.

3. 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.

4. If the gradient of a line is -1.5 and its y-intercept is 9, find its x-intercept.

  1. 6
  2. -6
  3. 13.5
  4. -13.5
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Answer: A

-1.5 = -(9x-intercept) => x-intercept = 91.5 = 6.

5. 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.

6. A line passes through (3, k) and (7, 10) with a gradient of 2. Find the value of k.

  1. 2
  2. 4
  3. 6
  4. 8
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Answer: A

10 - k7 - 3 = 2 => 10 - k4 = 2 => 10 - k = 8 => k = 2.

7. 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.

8. 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.

9. 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.

10. 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.

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