Slopes and Gradients

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The following math revision questions are provided in support of the math tutorial on Slopes and Gradients. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Slopes and Gradients tutorials. The Slopes and Gradients calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Slopes and Gradients Revision Questions

1. . A(3, -1) and B(7, -3) are two points of the same straight line. What is the gradient of this line?

1. -1
2. -1/2
3. -2/5
4. 5/2

Reveal AnswerCorrect Answer: B

2. . The gradient of the line which contains the two points A(x, 6) and B(-1, 2) is -2. What is the value of x?

1. -1
2. 1
3. 3
4. 6

Reveal AnswerCorrect Answer: A

3. . The gradient of the line that passes through A(x, 5) and B(-2, y) is k = 3. Which of the following options shows two possible values of x and y?

1. x = 4 and y = -1
2. x = 7 and y = 2
3. x = -4 and y = 11
4. x = 0 and y = 1

Reveal AnswerCorrect Answer: C

4. . A line intercepts the horizontal axis at x = 4 and the vertical axis at y = 2. What is the gradient of this line?

1. 2
2. 1/2
3. -1/2
4. -2

Reveal AnswerCorrect Answer: C

5. . What is the gradient of the line shown in the figure?

1. 3/5
2. 5/3
3. -3/5
4. -5/3

Reveal AnswerCorrect Answer: C

6. . What is the gradient of the line shown in the figure?

1. 4
2. 2
3. 3/2
4. 1

Reveal AnswerCorrect Answer: C

7. . Which line from those shown in the figure below (L1, L2, L3 or L4) has a greater gradient?

1. L1
2. L2
3. L3
4. L4

Reveal AnswerCorrect Answer: D

8. . Two points A and B (A is more on the left than B) belong to the same line. To go from A to B, one has to move 6 units right and 2 units down. What is the gradient of the line that contains points A and B?

1. 3
2. 1/3
3. -1/3
4. -3

Reveal AnswerCorrect Answer: C

9. . What is the gradient of the line that passes through points A(3, 2) and B(7, 2)?

1. 0
2. 1/5
3. 5
4. ∞

Reveal AnswerCorrect Answer: A

10. . What is the gradient of the line that passes through the points A(1, 2) and B(1, 6)?

1. 0
2. 1/4
3. 4
4. ∞

Reveal AnswerCorrect Answer: D

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2. Linear Graphs Math tutorial: Slopes and Gradients. Read the Slopes and Gradients math tutorial and build your math knowledge of Linear Graphs
3. Linear Graphs Revision Notes: Slopes and Gradients. Print the notes so you can revise the key points covered in the math tutorial for Slopes and Gradients
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5. Continuing learning linear graphs - read our next math tutorial: Equation of Linear Graphs

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