https://file.aiquickdraw.com/mathbot/file/1726063950632l544fb6i.jpg

The problem in the image asks to determine the x-intercept, y-intercept, and the equation of the straight line in the form:

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

The table for each diagram outlines the values of the x-intercepts and y-intercepts, followed by the equation in the desired form. Let’s analyze each part.

### Part A:
- **x-intercept**: \( x = 2 \)
- **y-intercept**: \( y = 4 \)
- Using the intercept form of the equation, we plug these values into the equation:
  \[
  \frac{x}{2} + \frac{y}{4} = 1
  \]

### Part B:
- **x-intercept**: \( x = -2 \)
- **y-intercept**: \( y = 4 \)
- The equation in intercept form is:
  \[
  \frac{x}{-2} + \frac{y}{4} = 1
  \]

### Part C:
- **x-intercept**: \( x = -3 \)
- **y-intercept**: \( y = 1 \)
- The equation in intercept form is:
  \[
  \frac{x}{-3} + \frac{y}{1} = 1
  \]

Each part follows the same format by identifying where the line crosses the x-axis and y-axis, then substituting into the general form \(\frac{x}{a} + \frac{y}{b} = 1\).

Would you like more details on how this form is derived, or do you have any other questions?

### Related Questions:
1. What does the slope of each line tell us about its equation?
2. How do we derive the slope from the intercepts in these equations?
3. What happens to the graph if the x-intercept is zero?
4. How can you determine the intercepts from the equation itself?
5. How would the equation change if the intercepts were fractions?

**Tip**: The general intercept form \(\frac{x}{a} + \frac{y}{b} = 1\) is useful because it directly relates the intercepts \(a\) and \(b\) to the x- and y-intercepts of the line.

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

This problem involves finding the x-intercept, y-intercept, and the equation of a straight line in intercept form (x/a) + (y/b) = 1 from a graph. The solution explains the process of interpreting intercepts and using them to form equations for lines.

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