Use the features you determined in part A to graph the line representing the equation 10x+12y=240 Delete A Undo O neset Drawing Tools B. Select a Point A. the

To graph the line represented by the equation $10x + 12y = 240$, we need to determine key features such as the intercepts and slope. Here's how you can do it:

### Step 1: Find the Intercepts

**X-intercept:** Set $y = 0$ and solve for $x$.

$$10x + 12(0) = 240 \\ 10x = 240 \\ x = \frac{240}{10} = 24$$

So, the x-intercept is at $(24, 0)$.

**Y-intercept:** Set $x = 0$ and solve for $y$.

$$10(0) + 12y = 240 \\ 12y = 240 \\ y = \frac{240}{12} = 20$$

So, the y-intercept is at $(0, 20)$.

### Step 2: Determine the Slope

The equation $10x + 12y = 240$ can be rewritten in slope-intercept form $y = mx + b$.

First, solve for $y$:

$$12y = -10x + 240 \\ y = -\frac{10}{12}x + \frac{240}{12} \\ y = -\frac{5}{6}x + 20$$

The slope $m$ is $-\frac{5}{6}$.

### Step 3: Graph the Line

1. **Plot the intercepts:** Mark the points $(24, 0)$ and $(0, 20)$ on the graph.
2. **Draw the line:** Use a ruler or straight edge to draw a line through these two points. This line represents the equation $10x + 12y = 240$.
3. **Check the slope:** Ensure that the line has a slope of $-\frac{5}{6}$. For every 6 units you move horizontally to the right, the line should drop 5 units vertically.

This process will give you the graph of the line based on the equation provided.