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If the coordinates of point C are (x, 0) and it lies on the line y = -3x + 6, wh

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Question: If the coordinates of point C are (x, 0) and it lies on the line y = -3x + 6, what is the value of x?

Options:

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Correct Answer: 2

Solution: 

Setting y = 0 in the equation -3x + 6 = 0 gives x = 2.

If the coordinates of point C are (x, 0) and it lies on the line y = -3x + 6, wh

Practice Questions

Q1
If the coordinates of point C are (x, 0) and it lies on the line y = -3x + 6, what is the value of x?
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Questions & Step-by-Step Solutions

If the coordinates of point C are (x, 0) and it lies on the line y = -3x + 6, what is the value of x?
  • Step 1: Understand that point C has coordinates (x, 0), which means its y-coordinate is 0.
  • Step 2: The equation of the line is given as y = -3x + 6.
  • Step 3: Since the y-coordinate of point C is 0, we can set y to 0 in the equation: 0 = -3x + 6.
  • Step 4: Rearrange the equation to solve for x: -3x + 6 = 0.
  • Step 5: Subtract 6 from both sides: -3x = -6.
  • Step 6: Divide both sides by -3 to find x: x = 2.
  • Linear Equations – Understanding how to find the intersection of a line with the x-axis by setting y to zero.
  • Coordinate Geometry – Using coordinates to determine the position of points in a Cartesian plane.
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