To find the y-intercept of the equation $3x - y = 3$, we need to rewrite it in slope-intercept form, which is $y = mx + b$, where $b$ represents the y-intercept.

Solution:

1. Start with the equation: $3x - y = 3$

2. Solve for $y$ by isolating it on one side of the equation. Subtract $3x$ from both sides: $-y = -3x + 3$

3. Multiply both sides by $-1$ to get $y$ by itself: $y = 3x - 3$

4. Now, the equation is in slope-intercept form $y = mx + b$, where $b = -3$.

Answer:

The y-intercept is $-3$.

Would you like further details on this solution, or do you have any additional questions?

Related Questions

1. How do you find the x-intercept of the equation $3x - y = 3$?
2. What does the slope of the line $3x - y = 3$ represent?
3. How can you graph the equation $3x - y = 3$ using the y-intercept and slope?
4. How do you convert other linear equations to slope-intercept form?
5. How does changing the y-intercept affect the graph of a line?

Tip:

To find the y-intercept, set $x = 0$ in the equation and solve for $y$.