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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

Pergunta

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

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

Solução

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RodolfoVeterano · Tutor por 9 anos

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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.
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