What is the y-intercept of the line given by the equation y = 3x - 11?A.(0, -11)B.(0, 11)C.(0, 3)D.(0, -3)

Break Down the Problem

1. To find the y-intercept of the line represented by the equation $y = 3x - 11$, we need to determine where the line crosses the y-axis. This occurs when $x = 0$.

Relevant Concepts

2. The formula for finding the y-intercept from a linear equation in the form $y = mx + b$ describes that the y-intercept is the value of $b$. In this case, we will set $x = 0$ in the equation.

Analysis and Detail

3. Substitute $x = 0$ into the equation:

   $y = 3(0) - 11$ $y = -11$

   Therefore, the y-intercept is the point $(0, -11)$.

Verify and Summarize

4. Since we calculated $y$ with $x = 0$ and found $y = -11$, this supports our result.

Final Answer

The y-intercept of the line is (0, -11), corresponding to option A.