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The equation 3x = 9 is pitied on graph paper, then which point lies on the graph?
- a)( -3, -2)
- b)(-3, 9)
- c)(-3, 3)
- d)(3, 9)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The equation 3x = 9 is pitied on graph paper, then which point lies on...
Graphing the equation
To graph the equation 3x = 9, we need to find the values of x and y that satisfy the equation.
Finding the x-coordinate
We can solve the equation by isolating x.
Dividing both sides of the equation by 3, we get:
x = 9/3 = 3
Finding the y-coordinate
Since the equation does not contain a y-variable, we can choose any value for y. Let's choose y = 0.
Plotting the point
Now that we have the x-coordinate (3) and the y-coordinate (0), we can plot the point (3, 0) on the graph.
Understanding the options
Let's now analyze the given options to determine which point lies on the graph of the equation.
a) (-3, -2): The x-coordinate is -3, which does not satisfy the equation 3x = 9.
b) (-3, 9): The x-coordinate is -3, which does not satisfy the equation 3x = 9.
c) (-3, 3): The x-coordinate is -3, which does not satisfy the equation 3x = 9.
d) (3, 9): The x-coordinate is 3, which satisfies the equation 3x = 9.
Conclusion
After analyzing each option, we can see that only option D, (3, 9), satisfies the equation 3x = 9. Therefore, the point (3, 9) lies on the graph of the equation.
To graph the equation 3x = 9, we need to find the values of x and y that satisfy the equation.
Finding the x-coordinate
We can solve the equation by isolating x.
Dividing both sides of the equation by 3, we get:
x = 9/3 = 3
Finding the y-coordinate
Since the equation does not contain a y-variable, we can choose any value for y. Let's choose y = 0.
Plotting the point
Now that we have the x-coordinate (3) and the y-coordinate (0), we can plot the point (3, 0) on the graph.
Understanding the options
Let's now analyze the given options to determine which point lies on the graph of the equation.
a) (-3, -2): The x-coordinate is -3, which does not satisfy the equation 3x = 9.
b) (-3, 9): The x-coordinate is -3, which does not satisfy the equation 3x = 9.
c) (-3, 3): The x-coordinate is -3, which does not satisfy the equation 3x = 9.
d) (3, 9): The x-coordinate is 3, which satisfies the equation 3x = 9.
Conclusion
After analyzing each option, we can see that only option D, (3, 9), satisfies the equation 3x = 9. Therefore, the point (3, 9) lies on the graph of the equation.
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Community Answer
The equation 3x = 9 is pitied on graph paper, then which point lies on...
Given 3x = 9
⇒ x = 9/3 = 3
∴ Line is parallel to y-axis and passes through x = 3
∴ Point (3, 9) will lie on 3x = 9
⇒ x = 9/3 = 3
∴ Line is parallel to y-axis and passes through x = 3
∴ Point (3, 9) will lie on 3x = 9
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The equation 3x = 9 is pitied on graph paper, then which point lies on the graph?a)( -3, -2)b)(-3, 9)c)(-3, 3)d)(3, 9)Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The equation 3x = 9 is pitied on graph paper, then which point lies on the graph?a)( -3, -2)b)(-3, 9)c)(-3, 3)d)(3, 9)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation 3x = 9 is pitied on graph paper, then which point lies on the graph?a)( -3, -2)b)(-3, 9)c)(-3, 3)d)(3, 9)Correct answer is option 'D'. Can you explain this answer?.
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