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If the equation of a line is y = -1/2x + 3, what is the y-value when x = 4?

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Question: If the equation of a line is y = -1/2x + 3, what is the y-value when x = 4?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 2

Solution: 

Substituting x = 4 into the equation gives y = -1/2(4) + 3 = -2 + 3 = 1.

If the equation of a line is y = -1/2x + 3, what is the y-value when x = 4?

Practice Questions

Q1
If the equation of a line is y = -1/2x + 3, what is the y-value when x = 4?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If the equation of a line is y = -1/2x + 3, what is the y-value when x = 4?
  • Step 1: Start with the equation of the line, which is y = -1/2x + 3.
  • Step 2: Identify the value of x that we need to substitute into the equation. In this case, x = 4.
  • Step 3: Substitute x = 4 into the equation. This means replacing x in the equation with 4.
  • Step 4: The equation now looks like this: y = -1/2(4) + 3.
  • Step 5: Calculate -1/2(4). This equals -2.
  • Step 6: Now, add 3 to -2. So, -2 + 3 equals 1.
  • Step 7: Therefore, the y-value when x = 4 is 1.
  • Linear Equations – Understanding how to evaluate a linear equation by substituting a given x-value to find the corresponding y-value.
  • Substitution – The process of replacing a variable in an equation with a specific value to solve for another variable.
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