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Which of the following is a correct interpretation of the y-intercept in the lin

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Question: Which of the following is a correct interpretation of the y-intercept in the linear equation y = mx + b?

Options:

  1. It is the value of y when x is zero.
  2. It is the value of x when y is zero.
  3. It represents the slope of the line.
  4. It indicates the maximum value of y.

Correct Answer: It is the value of y when x is zero.

Solution: 

The y-intercept (b) is the value of y when x equals zero.

Which of the following is a correct interpretation of the y-intercept in the lin

Practice Questions

Q1
Which of the following is a correct interpretation of the y-intercept in the linear equation y = mx + b?
  1. It is the value of y when x is zero.
  2. It is the value of x when y is zero.
  3. It represents the slope of the line.
  4. It indicates the maximum value of y.

Questions & Step-by-Step Solutions

Which of the following is a correct interpretation of the y-intercept in the linear equation y = mx + b?
  • Step 1: Understand the equation y = mx + b. Here, 'y' is the output, 'm' is the slope, 'x' is the input, and 'b' is the y-intercept.
  • Step 2: Identify what the y-intercept (b) represents. It is the point where the line crosses the y-axis.
  • Step 3: Remember that the y-axis is where x equals zero.
  • Step 4: Therefore, the y-intercept is the value of y when x is zero.
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