Reduce the equation `x+2y=3` to the intercept form.

Answer

To reduce the equation \( x + 2y = 3 \) to the intercept form, follow these steps:

### Step 1: Write the equation in standard form
The given equation is:
\[ x + 2y = 3 \]

### Step 2: Rearrange the equation
To express this in a form that can be divided, we can rearrange it as:
\[ 2y = 3 - x \]

### Step 3: Divide the entire equation by 3
Now, we will divide every term by 3 to help us express it in intercept form:
\[ \frac{x}{3} + \frac{2y}{3} = 1 \]

### Step 4: Rewrite in intercept form
Now we can rewrite this equation in intercept form, which is given by:
\[ \frac{x}{a} + \frac{y}{b} = 1 \]
Here, \( a = 3 \) (x-intercept) and \( b = \frac{3}{2} \) (y-intercept). Thus, we can express it as:
\[ \frac{x}{3} + \frac{y}{\frac{3}{2}} = 1 \]

### Final Result
The equation \( x + 2y = 3 \) in intercept form is:
\[ \frac{x}{3} + \frac{y}{\frac{3}{2}} = 1 \]