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Equation of Linear Graphs

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Linear Graphs Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
14.3Equation of Linear Graphs

Equation of Linear Graphs Revision Questions

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

4x - 2y + 10 = 0
  1. 2y = 4x + 10
  2. y = 4x + 10
  3. y = -2x + 5
  4. y = 2x + 5

Correct Answer: D

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

5x - 3y + 4 = 0

when expressed in the form

y = mx + n
  1. 5
  2. -5
  3. 5/3
  4. 3/5

Correct Answer: C

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

y = -2x + 7
  1. (0, -2)
  2. (0, 0)
  3. (3.5, 0)
  4. (-3.5, 0)

Correct Answer: C

4. . What are the intercepts of the line

2x + y - 1 = 0

with the X-and Y-axis?

  1. xint = 0.5 and yint = 1
  2. xint = 1 and yint = 0.5
  3. xint = 2 and yint = 1
  4. xint = 0.5 and yint = 2

Correct 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

Correct 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

Correct Answer: B

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

y = mx + 5

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

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

Correct Answer: D

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

y = -3x + n

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

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

Correct 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

Correct Answer: B

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

  1. xint = 1 and yint = 3
  2. xint = 3 and yint = 12
  3. xint = 2 and yint = 9
  4. xint = -1/4 and yint = 1

Correct Answer: D

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

Math Tutorials: Equation of Linear Graphs Example
  1. 12
  2. 4
  3. 3
  4. 1

Correct Answer: B

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

Math Tutorials: Equation of Linear Graphs Example
  1. y = -0.4x + 2
  2. y = 2x + 10
  3. y = x + 5
  4. y = 2x + 5

Correct Answer: A

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

Math Tutorials: Equation of Linear Graphs Example
  1. -2
  2. 1
  3. 3
  4. 5

Correct 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

Correct Answer: A

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

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

Correct Answer: C

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