What is the y-intercept of the line described by the equation below?y = x - 3A.(0, -3)B.(0, -1)C.(0, 3)D.(0, 1)SUBMITarrow_backPREVIOUS

Break Down the Problem

1. Identify the given line equation: $y = x - 3$.
2. Determine the y-intercept of the equation, which occurs when $x = 0$.

Relevant Concepts

• The y-intercept $(0, b)$ can be found by substituting $x = 0$ into the equation of the line.

Analysis and Detail

1. Substitute $x = 0$ into the equation: $y = 0 - 3$
2. Simplifying this gives: $y = -3$

Verify and Summarize

• By substituting $x = 0$, we find that $y = -3$, confirming that the y-intercept is indeed the point $(0, -3)$.

Final Answer

The y-intercept of the line is $(0, -3)$, which corresponds to option A. (0, -3).