The image contains a problem asking to find the x-intercept and y-intercept of the graph for the equation $5x - 3y = 15$.

Steps to Find the Intercepts:

1. Find the x-intercept:

The x-intercept occurs when $y = 0$. To find it:

• Set $y = 0$ in the equation $5x - 3y = 15$: $5x - 3(0) = 15$ $5x = 15$ $x = \frac{15}{5} = 3$ So, the x-intercept is $(3, 0)$.

2. Find the y-intercept:

The y-intercept occurs when $x = 0$. To find it:

• Set $x = 0$ in the equation $5x - 3y = 15$: $5(0) - 3y = 15$ $-3y = 15$ $y = \frac{15}{-3} = -5$ So, the y-intercept is $(0, -5)$.

Final Answer:

• x-intercept: $(3, 0)$
• y-intercept: $(0, -5)$

Would you like a more detailed explanation or help with another question?

Additional Questions:

1. How do the x- and y-intercepts relate to the graph of a line?
2. What is the slope of the line represented by the equation?
3. How would you graph this equation using the intercepts?
4. What would happen to the intercepts if the equation were $5x + 3y = 15$?
5. Can you interpret the equation of a line in general form and explain its components?

Tip: Always remember that intercepts give you two key points to graph a linear equation quickly.