https://file.aiquickdraw.com/mathbot/file/1726064137693oa9pn8m3.jpg

Let's analyze the three graphs shown in your image and determine the x-intercept, y-intercept, and the equation of each line in the form:

\[
\frac{x}{a} + \frac{y}{b} = 1
\]

where \( a \) is the x-intercept and \( b \) is the y-intercept.

### Part (a)
- **x-intercept:** This is the point where the line crosses the x-axis, which is \( x = -2 \).
- **y-intercept:** This is the point where the line crosses the y-axis, which is \( y = 2 \).
- **Equation:** Using the intercepts in the form \( \frac{x}{a} + \frac{y}{b} = 1 \), we get:

\[
\frac{x}{-2} + \frac{y}{2} = 1
\]

### Part (b)
- **x-intercept:** The line crosses the x-axis at \( x = 3 \).
- **y-intercept:** The line crosses the y-axis at \( y = -1 \).
- **Equation:** Using the intercepts, the equation is:

\[
\frac{x}{3} + \frac{y}{-1} = 1
\]

### Part (c)
- **x-intercept:** The line crosses the x-axis at \( x = -3 \).
- **y-intercept:** The line crosses the y-axis at \( y = -2 \).
- **Equation:** Using these intercepts, the equation is:

\[
\frac{x}{-3} + \frac{y}{-2} = 1
\]

Would you like further explanations on any of these solutions?

### Related Questions:
1. What is the general form of a line equation based on intercepts?
2. How do you convert the intercept form of a line to slope-intercept form?
3. How do parallel and perpendicular lines relate to their intercepts?
4. Can you find the slope of a line using the intercepts?
5. What happens if the intercepts are zero or undefined?

**Tip:** When working with lines, always ensure that you identify the intercepts carefully, as they directly influence the equation form.

Determine the x-intercept, y-intercept, and equation of the straight line in the form x/a + y/b = 1 based on the given diagram.

Learn how to determine the x-intercept, y-intercept, and the equation of a straight line in the form x/a + y/b = 1. This problem covers key coordinate geometry concepts suitable for students in Grades 9-10.

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