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If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?

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Question: If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?

Options:

  1. 1
  2. 4
  3. 7
  4. 10

Correct Answer: 4

Solution: 

Substituting x = 2 into the equation gives y = -3(2) + 7 = 1.

If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?

Practice Questions

Q1
If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?
  1. 1
  2. 4
  3. 7
  4. 10

Questions & Step-by-Step Solutions

If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?
  • Step 1: Start with the equation of the line, which is y = -3x + 7.
  • Step 2: Identify the value of x that you need to use, which is x = 2.
  • Step 3: Substitute the value of x into the equation. Replace x with 2 in the equation: y = -3(2) + 7.
  • Step 4: Calculate -3 times 2, which is -6.
  • Step 5: Now, add 7 to -6. So, -6 + 7 equals 1.
  • Step 6: The final result is that when x = 2, the y-coordinate is 1.
  • Linear Equations – Understanding how to substitute values into a linear equation to find corresponding coordinates.
  • Coordinate Calculation – Calculating the y-coordinate based on a given x-coordinate using the equation of a line.
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