To determine the vertical intercept of the given equation $y = 18 - 3x$, we need to understand that:

Key Points:

1. The vertical intercept is the point where the graph crosses the $y$-axis.
2. On the $y$-axis, $x = 0$ (since it is the vertical line where the horizontal coordinate is zero).

Step-by-Step Solution:

• Substitute $x = 0$ into the equation $y = 18 - 3x$: $y = 18 - 3(0)$ $y = 18$

Result:

The vertical intercept is $18$. This means the graph crosses the $y$-axis at $(0, 18)$.

Would you like a detailed explanation of vertical and horizontal intercepts or more on linear equations? Let me know!

Related Questions:

1. What does the slope of $-3$ mean in this context?
2. How much money does Juliana pay back per week?
3. How long will it take for Juliana to fully pay back the debt?
4. What is the horizontal intercept, and what does it represent?
5. How would the graph change if the equation were $y = 18 - 2x$?

Tip:

The vertical intercept is always found when $x = 0$, while the horizontal intercept occurs when $y = 0$.