Equation of Linear Graphs

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The following math revision questions are provided in support of the math tutorial on Equation of Linear Graphs. 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 Equation of Linear Graphs tutorials. The Equation of Linear Graphs 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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Equation of Linear Graphs Revision Questions

1. . What is the simplified form of the linear equation

1. 2y = 4x + 10
2. y = 4x + 10
3. y = -2x + 5
4. y = 2x + 5

Reveal AnswerCorrect Answer: D

2. . What is the gradient m of the linear equation

when expressed in the form

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

Reveal AnswerCorrect Answer: C

3. . What is the x-intercept of the line

1. (0, -2)
2. (0, 0)
3. (3.5, 0)
4. (-3.5, 0)

Reveal AnswerCorrect Answer: C

4. . What are the intercepts of the line

with the X-and Y-axis?

1. x_int = 0.5 and y_int = 1
2. x_int = 1 and y_int = 0.5
3. x_int = 2 and y_int = 1
4. x_int = 0.5 and y_int = 2

Reveal AnswerCorrect Answer: A

5. . The y-intercept of a linear graph is 3 and the gradient is -2. What is the equation of this linear graph?

1. y = 3x - 2
2. y = 2x - 3
3. y = -3x + 2
4. y = -2x + 3

Reveal AnswerCorrect Answer: D

6. . The gradient of a line that passes through point A(2, 5) is m = 4. What is the equation of this line?

1. y = 2x + 5
2. y = 4x - 3
3. y = 4x + 2
4. y = 4x + 5

Reveal AnswerCorrect Answer: B

7. . What is the x-intercept of the line

if it passes through point A(1, 3)?

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

Reveal AnswerCorrect Answer: D

8. . What is the y-intercept of the line

if it passes through point A(-1, 4)?

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

Reveal AnswerCorrect Answer: B

9. . What is the equation of the line that passes through points A(-2, 1) and B(3, -4)?

1. y = -x + 1
2. y = -x - 1
3. y = 5x - 1
4. y = x - 3

Reveal AnswerCorrect Answer: B

10. . What are the intercepts of the line that passes through points A(-1, -3) and B(2, 9)?

1. x_int = 1 and y_int = 3
2. x_int = 3 and y_int = 12
3. x_int = 2 and y_int = 9
4. x_int = -1/4 and y_int = 1

Reveal AnswerCorrect Answer: D

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

1. 12
2. 4
3. 3
4. 1

Reveal AnswerCorrect Answer: B

12. . What is the equation of the line shown in the graph below?

1. y = -0.4x + 2
2. y = 2x + 10
3. y = x + 5
4. y = 2x + 5

Reveal AnswerCorrect Answer: A

13. . What is the sum m₁ + m₂ of the gradients of the lines L1 and L2 shown in the figure below?

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

Reveal AnswerCorrect Answer: B

14. . The gradient of a line that passes through points A(2, -1) and B(x, -5) is m = 3. What is the y-intercept of this line?

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

Reveal AnswerCorrect Answer: A

15. . What is the equation of the line if its intercepts with the graphs are x_int = -3 and y_int = 4?

1. y = 3x + 4
2. y = -3x + 4
3. y = (4/3)x + 4
4. y = (3/4)x + 4

Reveal AnswerCorrect Answer: C

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1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Linear Graphs Math tutorial: Equation of Linear Graphs. Read the Equation of Linear Graphs math tutorial and build your math knowledge of Linear Graphs
3. Linear Graphs Revision Notes: Equation of Linear Graphs. Print the notes so you can revise the key points covered in the math tutorial for Equation of Linear Graphs
4. Check your calculations for Linear Graphs questions with our excellent Linear Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Linear Graphs Calculators by iCalculator™ below.
5. Continuing learning linear graphs - read our next math tutorial: Parallel, Perpendicular and Intersecting Graphs

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