The correct statement of the intercepts is:

• x-intercept: $(-3,0)$
• y-intercept: $(0,4)$

This matches the first option in the list:

• x-intercept: $(-3,0)$
• y-intercept: $(0,4)$

This means that when $y = 0$, the point on the x-axis is $(-3, 0)$, and when $x = 0$, the point on the y-axis is $(0, 4)$.

Would you like more details or have any questions?

Here are 5 related questions to explore this further:

1. How do you derive the equation of a line using the intercepts?
2. What is the slope of the line passing through the points $(-3, 0)$ and $(0, 4)$?
3. How do x- and y-intercepts help in graphing linear equations?
4. Can a linear equation have more than one x- or y-intercept?
5. How do the intercepts change if you multiply the entire equation by a constant?

Tip: You can use the intercepts to quickly sketch the line, as they tell you where the line crosses the axes!