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Linear graphs and their applications

5 Class 9 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. What is the graph of y = 2x + 1?

    • 1 A parabola
    • 2 A straight line
    • 3 A circle
    • 4 A curve through the origin only
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    Correct answer: A straight line

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

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

    • 1 3
    • 2 0
    • 3 -4
    • 4 4
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    Correct answer: 4

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

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

    • 1 -5
    • 2 -2
    • 3 2
    • 4 5
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    Correct answer: 5

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

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

    • 1 12
    • 2 7
    • 3 1
    • 4 5
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    Correct answer: 5

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

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

    • 1 (4, 6)
    • 2 (4, 7)
    • 3 (8, 14)
    • 4 (3, 5)
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    Correct answer: (4, 7)

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

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