Graphing Linear Equations Quiz - CBSE Class 9 Mathematics

Free practice quiz: Graphing Linear Equations (CBSE Class 9 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What does the graph of a linear equation represent?

   1. A single point
   2. A straight line
   3. A curve
   4. A circle
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   Answer: B. A straight line

   A linear equation represents a straight line on the graph, showing a constant rate of change.

2. In the equation 2x + 4y = 8, what is the slope when rewritten in slope-intercept form?

   1. -2
   2. 0.5
   3. 2
   4. -0.5
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   Answer: D. -0.5

   To find the slope, rewrite the equation in the form of y = mx + b. This gives y = -0.5x + 2, with slope m = -0.5.

3. What is the equation of a line with slope 3 that passes through the origin?

   1. y = 3x
   2. y = x + 3
   3. y = 3x + 1
   4. y = 3x - 3
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   Answer: A. y = 3x

   A line with slope 3 passing through the origin (0, 0) can be represented by the equation y = mx, hence y = 3x.

4. If the slope of a line is 0, what does that tell us about the line?

   1. It is vertical
   2. It is horizontal
   3. It goes downwards
   4. It goes upwards
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   Answer: B. It is horizontal

   A slope of 0 indicates that the line does not rise or fall as it moves horizontally, hence it is a horizontal line.

5. What is the x-intercept of the line represented by the equation 2x + 3y = 6?

   1. 0
   2. 3
   3. 2
   4. 6
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   Answer: B. 3

   To find the x-intercept, set y to 0. The equation becomes 2x = 6, thus x = 3.

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