slope-inte rcept form 1. $$ x+y=1 \rightarrow $$

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To convert the equation $$ x + y = 1 $$ into **slope-intercept form**, which is $$ y = mx + b $$, follow these steps:

1. **Start with the original equation:**
   $$
   x + y = 1
   $$

2. **Isolate $$ y $$ by subtracting $$ x $$ from both sides:**
   $$
   y = -x + 1
   $$

3. **Now, the equation is in slope-intercept form:**
   $$
   y = -x + 1
   $$

- **Slope ($$ m $$)**: The coefficient of $$ x $$ is **-1**. This means the line slopes downward.
   - **Y-intercept ($$ b $$)**: The constant term is **1**. This is the point where the line crosses the y-axis at $$ (0, 1) $$.

**Graphical Interpretation:**
- **Slope ($$ m = -1 $$)**: For every 1 unit increase in $$ x $$, $$ y $$ decreases by 1 unit.
- **Y-intercept ($$ b = 1 $$)**: The line crosses the y-axis at the point $$ (0, 1) $$.

**Summary:**
$$
x + y = 1 \quad \text{is equivalent to} \quad y = -x + 1
$$
where:
- **Slope ($$ m $$)** = -1
- **Y-intercept ($$ b $$)** = 1
$$ x + y = 1 $$ in slope-intercept form is $$ y = -x + 1 $$.

slope-inte rcept form

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