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

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Question: Which of the following is a correct interpretation of the y-intercept in the equation of a line?

Options:

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

Solution:

The y-intercept is defined as the point where the line crosses the y-axis, which occurs when x is zero.

Which of the following is a correct interpretation of the y-intercept in the equation of a line?

Which of the following is a correct interpretation of the y-intercept in the equation of a line?

Step 1: Understand what a line equation is. A line can be represented by an equation, usually in the form y = mx + b.
Step 2: Identify the components of the equation. In this equation, 'm' is the slope and 'b' is the y-intercept.
Step 3: Know what the y-intercept means. The y-intercept is the value of y when x is 0.
Step 4: Visualize the y-axis. The y-axis is the vertical line on a graph where x is always 0.
Step 5: Find the point where the line crosses the y-axis. This point is where the line meets the y-axis, and it happens when x = 0.
Step 6: Conclude that the y-intercept is the point on the y-axis where the line intersects.

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