Equations of Linear Functions Quick Check 3 of 43 of 4 Items Question Use the table to answer the question. x y 18 10 6 −3 Write the equation of the linear function represented by the table. (1 point) Responses y=(−1312)x+(72) y equals left parenthesis Start Fraction negative 13 over 12 End Fraction right parenthesis x plus Start Fraction 7 over 2 End Fraction right parenthesis y=(1312)x−(192) y equals left parenthesis Start Fraction 13 over 12 End Fraction right parenthesis x minus Start Fraction 19 over 2 End Fraction right parenthesis y=(1213)x−(11113) y equals left parenthesis Start Fraction 12 over 13 End Fraction right parenthesis x minus Start Fraction 111 over 13 End Fraction right parenthesis y=−192 y equals Start Fraction negative 19 over 12 End Fraction
The geographical location of Andersonville was chosen for several reasons. Firstly, Andersonville was located in Georgia, which was a southern state and a major center of the Confederacy during the Civil War. By choosing a location in the South, the Confederate authorities aimed to keep Confederate prisoners in an area under their control and away from Union forces.
Secondly, Andersonville was situated in a rural and remote area with dense forests and limited infrastructure. This made it difficult for Union forces to conduct raids or rescue operations to free the prisoners. The Confederate authorities likely believed that the isolation and lack of nearby towns or cities would deter Union interference.
Additionally, the chosen location had access to water, namely the nearby Americus Creek and Sweetwater Branch. These water sources could supply the prison with drinking water and serve other basic needs for the prisoners.
Overall, the geographic location of Andersonville was chosen primarily for its strategic advantages and to minimize the chances of Union intervention.
To find the equation of the linear function represented by the table, we need to find the slope (m) and the y-intercept (b).
We can find the slope by using the formula:
m = (change in y) / (change in x)
Using the points (18, 10) and (6, -3), we have:
m = (-3 - 10) / (6 - 18) = -13/12
Now that we have the slope, we can find the y-intercept by using the formula:
b = y - mx
Using the point (18, 10), we have:
10 = (-13/12)(18) + b
10 = -39/2 + b
Adding 39/2 to both sides of the equation, we get:
10 + 39/2 = b
20/2 + 39/2 = b
59/2 = b
The equation of the linear function represented by the table is:
y = (-13/12)x + 59/2
Therefore, the correct answer is:
y = (-13/12)x + (59/2)
u sure
I apologize for any confusion. Let's double-check our work:
Using the points (18, 10) and (6, -3), the slope is calculated as:
m = (change in y) / (change in x)
m = (-3 - 10) / (6 - 18)
m = -13 / (-12)
m = 13/12 or 1.08 (rounded to two decimal places)
To find the y-intercept (b), we can use the point (18, 10):
10 = (13/12)(18) + b
Simplifying the equation:
10 = 39/2 + b
To isolate b, subtract 39/2 from both sides:
10 - 39/2 = b
Using a common denominator of 2:
20/2 - 39/2 = b
-19/2 = b
Therefore, the equation of the linear function is:
y = (13/12)x - 19/2
Based on this calculation, the correct answer is:
y = (13/12)x - 19/2
Georgia State History unit 5A: Civil War and Reconstruction:
Read, Think, Write--Andersonville Prison
Question 1: Why do you think the geographical location of Andersonville was chosen?
Question 2: Why would it be challenging to run a prison during wartime?
Running a prison during wartime presents numerous challenges due to the unique circumstances and pressures of the conflict. Some of the main reasons why it would be challenging to run a prison during wartime are:
1. Overcrowding: During wartime, there is often a surge in the number of prisoners as a result of increased military operations and captures. The sudden influx of prisoners can quickly overwhelm the infrastructure and resources of a prison, causing overcrowding and straining the ability to maintain order and provide essential services.
2. Security concerns: Wartime prisons face heightened security risks due to the presence of enemy combatants who may attempt to escape, coordinate attacks, or engage in other subversive activities. The threat of infiltration from spies or collaborators and the potential for riots or mutinies among prisoners are also security concerns that make running a prison during wartime challenging.
3. Resource limitations: In times of war, resources such as food, water, medical supplies, and personnel are often prioritized for military operations and the needs of soldiers, leaving prisons with limited resources. This scarcity can make it difficult to adequately provide for the basic needs of prisoners and maintain their health and well-being.
4. Changing priorities: During wartime, authorities may prioritize military objectives and resources over the administration of justice or the welfare of prisoners. This can result in a lack of attention, resources, or oversight for prisons, leading to neglect or abuses.
5. Emotional and psychological strain: War and its associated trauma can affect the mental well-being of both prison staff and prisoners. The stress, anxiety, and emotional toll caused by the conflict can contribute to heightened tensions, conflicts, and challenges in maintaining order and providing necessary support for prisoners.
Overall, the unique circumstances of war, including the influx of prisoners, security risks, resource limitations, changing priorities, and psychological strain, create significant challenges for running a prison during wartime.
Question 3: How do we know about the conditions at Andersonville? What primary sources/artifacts have historians used to learn about life at Andersonville?
Historians have relied on various primary sources and artifacts to learn about the conditions at Andersonville. Some of the key sources used include:
1. Prisoner diaries and letters: Many prisoners at Andersonville kept diaries or wrote letters describing their experiences in detail. These first-hand accounts provide valuable insights into daily life, living conditions, treatment by Confederate authorities, and the emotional toll of confinement.
2. Official reports and correspondence: Military officers, government officials, and medical personnel often documented their observations and experiences in official reports and correspondence. These records shed light on the management of the prison, efforts to improve conditions, and interactions between Confederate authorities and Union prisoners.
3. Photographs and illustrations: While relatively few visual records exist, some photographs and illustrations were taken during or after the war that depict aspects of Andersonville prison. These images provide visual evidence of the physical layout, structures, and the appearance of prisoners.
4. Court-martial records: After the war, Confederate officials and personnel involved in the administration of Andersonville were subject to court-martial proceedings. Testimony and evidence presented during these trials provided details about the conditions, treatment of prisoners, and decision-making processes that shaped life at the prison.
5. Archaeological finds: Excavations and archaeological investigations at the Andersonville site have unearthed artifacts such as personal belongings, utensils, pottery, and remnants of the prison structure. These physical remains offer material evidence of daily life and conditions within the prison.
6. Secondary sources: Historians have also relied on the research, analysis, and interpretations of previous scholars to understand the conditions at Andersonville. Books, articles, and academic studies provide a synthesis of primary sources, analysis of the historical context, and perspectives on Andersonville's significance within the broader context of the Civil War and the treatment of prisoners.
By analyzing and piecing together these various primary sources and artifacts, historians have been able to reconstruct and understand the conditions at Andersonville and the experiences of those confined there during the Civil War.