The speaker’s tone or attitude toward the subject of freedom is one of yearning and longing.
The piece of descriptive language that best supports this is “but longed for still.”
Read the stanza. Then, complete the statements.
The caged bird sings
with a fearful trill
of things unknown
but longed for still
and his tune is heard
on the distant hill
for the caged bird
sings of freedom.
–“Caged Bird,”
Maya Angelou
The speaker’s tone or attitude toward the subject of freedom is one of
.
The piece of descriptive language that best supports this is “
.”
11 answers
The graph depicts a linear relationship between horizontal distance (in feet) and vertical distance (in feet).
The x-axis represents the horizontal distance, ranging from 0 to at least 5 feet.
The y-axis represents the vertical distance, ranging from 0 to at least 16 feet.
There are points plotted at (1, 2), (3, 8), and (5, 14), suggesting the vertical distance increases as the horizontal distance increases.
The graph appears to illustrate a positive linear relationship, indicating that as you move further to the right on the x-axis, the value on the y-axis also increases.
The graph represents one side of the roof of a building.
The slope of the line is
The x-axis represents the horizontal distance, ranging from 0 to at least 5 feet.
The y-axis represents the vertical distance, ranging from 0 to at least 16 feet.
There are points plotted at (1, 2), (3, 8), and (5, 14), suggesting the vertical distance increases as the horizontal distance increases.
The graph appears to illustrate a positive linear relationship, indicating that as you move further to the right on the x-axis, the value on the y-axis also increases.
The graph represents one side of the roof of a building.
The slope of the line is
To find the slope of the line representing the relationship depicted in the graph, you can use the formula for slope (m) between two points, which is:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
You can use any two points plotted on the graph. Let's use the points (1, 2) and (5, 14) for this calculation:
- \( (x_1, y_1) = (1, 2) \)
- \( (x_2, y_2) = (5, 14) \)
Now, substitute these values into the slope formula:
\[ m = \frac{14 - 2}{5 - 1} = \frac{12}{4} = 3 \]
Thus, the slope of the line is 3. This means that for every 1 foot increase in horizontal distance, the vertical distance increases by 3 feet.
wrong
The two dots you mentioned are located at the following coordinates on the graph:
The first dot is at ((1, 2)), meaning it is 1 foot horizontally and 2 feet vertically.
The second dot is at ((3, 8)), meaning it is 3 feet horizontally and 8 feet vertically.
If you have more questions or need further details, let me know!
The graph depicts a linear relationship between horizontal distance (in feet) and vertical distance (in feet).
The x-axis represents the horizontal distance, ranging from 0 to at least 5 feet.
The y-axis represents the vertical distance, ranging from 0 to at least 16 feet.
There are points plotted at (1, 2), (3, 8), and (5, 14), suggesting the vertical distance increases as the horizontal distance increases.
The graph appears to illustrate a positive linear relationship, indicating that as you move further to the right on the x-axis, the value on the y-axis also increases.
The graph represents one side of the roof of a building.
whats the slope of the line
The two dots you mentioned are located at the following coordinates on the graph:
The first dot is at ((1, 2)), meaning it is 1 foot horizontally and 2 feet vertically.
The second dot is at ((3, 8)), meaning it is 3 feet horizontally and 8 feet vertically.
If you have more questions or need further details, let me know!
The graph depicts a linear relationship between horizontal distance (in feet) and vertical distance (in feet).
The x-axis represents the horizontal distance, ranging from 0 to at least 5 feet.
The y-axis represents the vertical distance, ranging from 0 to at least 16 feet.
There are points plotted at (1, 2), (3, 8), and (5, 14), suggesting the vertical distance increases as the horizontal distance increases.
The graph appears to illustrate a positive linear relationship, indicating that as you move further to the right on the x-axis, the value on the y-axis also increases.
The graph represents one side of the roof of a building.
whats the slope of the line
To find the slope of the line based on the new points you provided, we can again use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's choose the points (1, 2) and (3, 8) this time:
- \( (x_1, y_1) = (1, 2) \)
- \( (x_2, y_2) = (3, 8) \)
Now we can substitute these values into the slope formula:
\[ m = \frac{8 - 2}{3 - 1} = \frac{6}{2} = 3 \]
The slope of the line is 3. This indicates that for every 1 foot increase in horizontal distance, the vertical distance increases by 3 feet.
If you would like to check the slope using the points (3, 8) and (5, 14), you can also calculate it:
- \( (x_1, y_1) = (3, 8) \)
- \( (x_2, y_2) = (5, 14) \)
Using the slope formula:
\[ m = \frac{14 - 8}{5 - 3} = \frac{6}{2} = 3 \]
Again, the slope is 3. So, the slope remains consistent across these points, confirming the linear relationship.
its 7/2
The table shows the gallons of fuel remaining after a car travels a certain distance in miles.
The change in fuel remaining from one row to the next in the table is
gallon(s).
The change in distance from one row to the next in the table is
mile(s).
The slope of the line that runs through the points given in the table is
.
The slope indicates a
.
The table shows the relationship between distance traveled (in miles) and the corresponding fuel remaining (in gallons). Here are the details:
| Distance (miles) | Fuel Remaining (gallons) |
|-------------------|--------------------------|
| 0 | 13.50 |
| 1 | 13.46 |
| 2 | 13.42 |
| 3 | 13.38 |
| 4 | 13.34 |
| 5 | 13.30 |
As the distance increases, the amount of fuel remaining decreases gradually. If you have any further questions or need analysis from this data, feel free to ask!
The table shows the gallons of fuel remaining after a car travels a certain distance in miles.
The change in fuel remaining from one row to the next in the table is
gallon(s).
The change in distance from one row to the next in the table is
mile(s).
The slope of the line that runs through the points given in the table is
.
The slope indicates a
.
The table shows the relationship between distance traveled (in miles) and the corresponding fuel remaining (in gallons). Here are the details:
| Distance (miles) | Fuel Remaining (gallons) |
|-------------------|--------------------------|
| 0 | 13.50 |
| 1 | 13.46 |
| 2 | 13.42 |
| 3 | 13.38 |
| 4 | 13.34 |
| 5 | 13.30 |
As the distance increases, the amount of fuel remaining decreases gradually. If you have any further questions or need analysis from this data, feel free to ask!
Let's break down the information provided in the table step by step:
The Table:
| Distance (miles) | Fuel Remaining (gallons) | |-------------------|--------------------------| | 0 | 13.50 | | 1 | 13.46 | | 2 | 13.42 | | 3 | 13.38 | | 4 | 13.34 | | 5 | 13.30 |
Changes in Values:
-
The change in fuel remaining from one row to the next in the table:
- For each distance increase of 1 mile, the fuel remaining decreases by:
- \(13.50 - 13.46 = 0.04\) gallons
- \(13.46 - 13.42 = 0.04\) gallons
- \(13.42 - 13.38 = 0.04\) gallons
- \(13.38 - 13.34 = 0.04\) gallons
- \(13.34 - 13.30 = 0.04\) gallons
- Thus, the change in fuel remaining from one row to the next is 0.04 gallon(s).
- For each distance increase of 1 mile, the fuel remaining decreases by:
-
The change in distance from one row to the next in the table:
- The distance increases by 1 mile for each step in the table.
Slope Calculation:
The slope of the line that runs through the points given in the table can be calculated with the formula:
\[ m = \frac{\text{change in Fuel Remaining}}{\text{change in Distance}} = \frac{-0.04}{1} = -0.04 \]
Interpretation of Slope:
The slope indicates a decrease in fuel remaining as the distance traveled increases. Specifically, for every 1 mile driven, the car uses 0.04 gallons of fuel.
Summary:
- The change in fuel remaining from one row to the next in the table is 0.04 gallon(s).
- The change in distance from one row to the next in the table is 1 mile.
- The slope of the line that runs through the points given in the table is -0.04.
- The slope indicates a negative relationship between distance traveled and fuel remaining, meaning as the distance increases, the amount of fuel remaining decreases.
you mean -0.04 for the first one?? bcuz that wasnt RIGHT
Apologies for the confusion! Let’s clarify the information step by step with focus on getting the correct values.
Looking at the table again:
| Distance (miles) | Fuel Remaining (gallons) | |-------------------|--------------------------| | 0 | 13.50 | | 1 | 13.46 | | 2 | 13.42 | | 3 | 13.38 | | 4 | 13.34 | | 5 | 13.30 |
-
The change in fuel remaining from one row to the next in the table:
- The fuel remaining decreases as the distance increases:
- From 13.50 to 13.46: \(13.50 - 13.46 = 0.04\) gallons
- From 13.46 to 13.42: \(13.46 - 13.42 = 0.04\) gallons
- From 13.42 to 13.38: \(13.42 - 13.38 = 0.04\) gallons
- From 13.38 to 13.34: \(13.38 - 13.34 = 0.04\) gallons
- From 13.34 to 13.30: \(13.34 - 13.30 = 0.04\) gallons
The change in fuel remaining from one row to the next is 0.04 gallon(s) (indicating a decrease).
- The fuel remaining decreases as the distance increases:
-
The change in distance from one row to the next in the table:
- The distance changes, as before, is always 1 mile.
-
Calculating the slope: The formula remains the same: \[ m = \frac{\text{change in Fuel Remaining}}{\text{change in Distance}} \] Using the calculated changes: \[ m = \frac{-0.04 \text{ gallons}}{1 \text{ mile}} = -0.04 \]
Summary:
- The change in fuel remaining from one row to the next in the table is indeed 0.04 gallon(s) (with a decrease, hence it is negative).
- The change in distance from one row to the next in the table is 1 mile.
- The slope of the line that runs through the points given in the table is -0.04.
- The slope indicates that as the distance traveled increases, the fuel remaining decreases.
Thank you for your patience, and I hope this clarifies the correct understanding!
The change in fuel remaining from one row to the next in the table is
✔ –0.04
gallon(s).
The change in distance from one row to the next in the table is
✔ 1
mile(s).
The slope of the line that runs through the points given in the table is
✔ –0.04
.
The slope indicates a
✔ loss of 0.04 gallons of fuel for every 1 mile
.
Find the slope of the line that passes through the points shown in the table.
The slope of the line that passes through the points in the table is
.
✔ –0.04
gallon(s).
The change in distance from one row to the next in the table is
✔ 1
mile(s).
The slope of the line that runs through the points given in the table is
✔ –0.04
.
The slope indicates a
✔ loss of 0.04 gallons of fuel for every 1 mile
.
Find the slope of the line that passes through the points shown in the table.
The slope of the line that passes through the points in the table is
.
Based on the information provided earlier about the relationship between distance traveled (in miles) and fuel remaining (in gallons), we have already determined the slope is \(-0.04\).
Following the general formula for finding the slope (\(m\)) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the values from the table, let’s calculate the slope again briefly for confirmation:
Taking two points from the table, for instance:
- Point 1: \((0, 13.50)\)
- Point 2: \((1, 13.46)\)
Plugging in these values:
\[ m = \frac{13.46 - 13.50}{1 - 0} = \frac{-0.04}{1} = -0.04 \]
You can verify this with any other consecutive points (for example, using points \((1, 13.46)\) and \((2, 13.42)\)) and you will find the same slope:
- Using points (1, 13.46) and (2, 13.42):
\[ m = \frac{13.42 - 13.46}{2 - 1} = \frac{-0.04}{1} = -0.04 \]
Final Answer:
The slope of the line that passes through the points in the table is –0.04.
Summary:
- The slope indicates a loss of 0.04 gallons of fuel for every 1 mile traveled.
- This confirmed slope holds true across all points in the table, consistently showing how fuel decreases with an increase in distance traveled.