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Linear graphs and their applications

Written by Hassan Raza (Mathematics)

Class 9 · Mathematics · 9 questions

Name: ____________________   Date: ____________

  1. What is the graph of y = 2x + 1?

    • A A parabola
    • B A straight line
    • C A circle
    • D A curve through the origin only

  2. What is the y-intercept of y = 3x + 4?

    • A 3
    • B 0
    • C -4
    • D 4

  3. What is the slope of the line y = 5x - 2?

    • A -5
    • B -2
    • C 2
    • D 5

  4. What is the distance between the points (0, 0) and (3, 4)?

    • A 12
    • B 7
    • C 1
    • D 5

  5. What is the midpoint of (2, 4) and (6, 10)?

    • A (4, 6)
    • B (4, 7)
    • C (8, 14)
    • D (3, 5)

  6. The point where a line cuts the x axis has:

    • A x = 1
    • B x = 0
    • C y = 0
    • D x = y

  7. The coordinates of the origin are:

    • A (1, 1)
    • B (1, 0)
    • C (0, 1)
    • D (0, 0)

  8. The point (3, -2) lies in the:

    • A First quadrant
    • B Second quadrant
    • C Fourth quadrant
    • D Third quadrant

  9. The slope of a horizontal line is:

    • A 1
    • B Undefined
    • C 0
    • D -1

Answer key

1. B, 2. D, 3. D, 4. D, 5. B, 6. C, 7. D, 8. C, 9. C

  1. An equation of the form y = m x + c gives a straight line.

  2. The line cuts the y-axis where x = 0, giving y = 4.

  3. In y = m x + c, m is the slope.

  4. Distance = square root of (9 + 16) = 5.

  5. Midpoint = ((2 + 6)/2, (4 + 10)/2) = (4, 7).

  6. On the x axis y is zero.

  7. The origin is at (0, 0).

  8. Positive x and negative y is the fourth quadrant.

  9. A horizontal line does not rise.