Graph the function $$ h(x)=-\frac{1}{4} x-3 $$

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To graph the function $$ h(x) = -\frac{1}{4}x - 3 $$, we can follow these steps:

1. **Identify the slope and y-intercept**:
   - The function is in the slope-intercept form $$ y = mx + b $$, where $$ m $$ is the slope and $$ b $$ is the y-intercept.
   - Here, the slope $$ m = -\frac{1}{4} $$ and the y-intercept $$ b = -3 $$.

2. **Plot the y-intercept**:
   - The y-intercept is the point where the graph crosses the y-axis. For this function, it is at the point $$ (0, -3) $$.

3. **Use the slope to find another point**:
   - The slope of $$ -\frac{1}{4} $$ means that for every 4 units you move to the right (positive direction on the x-axis), you move down 1 unit (negative direction on the y-axis).
   - Starting from the y-intercept $$ (0, -3) $$:
     - Move 4 units to the right to $$ (4, -3) $$.
     - Move down 1 unit to $$ (4, -4) $$.
   - So another point on the graph is $$ (4, -4) $$.

4. **Plot the points**:
   - Plot the points $$ (0, -3) $$ and $$ (4, -4) $$ on the graph.

5. **Draw the line**:
   - Connect the points with a straight line, extending it in both directions.

6. **Label the graph**:
   - You can label the axes and the function for clarity.

The graph of the function $$ h(x) = -\frac{1}{4}x - 3 $$ will be a straight line that slopes downwards from left to right, crossing the y-axis at $$ -3 $$ and having a gentle slope due to the small absolute value of the slope.

If you need a visual representation, you can use graphing software or graphing calculators to plot the function accurately.
Plot the points (0, -3) and (4, -4) and draw a line through them. The line represents the graph of $$ h(x) = -\frac{1}{4}x - 3 $$.

Graph the function

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