Write an equation in slope-intercept form for the line with slope $$ -\frac{1}{2} $$ and $$ y $$-intercept -7 . Then graph the line.

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**Step 1. Write the Equation**

The slope-intercept form of a line is given by  
$$
y = mx + b
$$
where $$ m $$ is the slope and $$ b $$ is the $$ y $$-intercept. Given $$ m = -\frac{1}{2} $$ and $$ b = -7 $$, substituting these values in gives  
$$
y = -\frac{1}{2}x - 7.
$$

**Step 2. Graphing the Line**

1. **Plot the $$ y $$-intercept:**  
   The $$ y $$-intercept is the point where $$ x = 0 $$. Here, it is $$(0, -7)$$.

2. **Use the slope to find another point:**  
   The slope $$ m = -\frac{1}{2} $$ means that for every 2 units the line moves to the right, it moves 1 unit down. Starting from $$(0, -7)$$:
   - Move 2 units right: $$ x = 0 + 2 = 2 $$.
   - Move 1 unit down: $$ y = -7 - 1 = -8 $$.  
   This gives the point $$(2, -8)$$.

3. **Optional: Find the $$ x $$-intercept:**  
   The $$ x $$-intercept is where $$ y = 0 $$. Setting the equation to zero,  
   $$
   0 = -\frac{1}{2}x - 7.
   $$
   Solve for $$ x $$:
   - Add 7 to both sides:  
     $$
     7 = -\frac{1}{2}x.
     $$
   - Multiply both sides by $$-2$$:  
     $$
     x = -14.
     $$
   So the $$ x $$-intercept is $$(-14, 0)$$.

4. **Sketch the Graph:**  
   On a coordinate plane, mark the points $$(0, -7)$$, $$(2, -8)$$, and $$(-14, 0)$$. Draw a straight line passing through these points.

The final equation of the line is  
$$
y = -\frac{1}{2}x - 7.
$$
The equation of the line in slope-intercept form is $$ y = -\frac{1}{2}x - 7 $$.

Write an equation in slope-intercept form for the line with slope \( -\frac{1}{2} \) and \( y \)-intercept -7 . Then graph the line.

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