Question
page 12 of 12
Writing Simultaneous Linear Equations Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
Two lines intersect on the coordinate plane. Both axes range from negative 10 to 10 in increments of 1.
Write the system of equations shown in the graph.
(1 point)
Responses
{y=2x−1y=4x+0.75
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 0.75 end layout
{y=2x−1y=4x+3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 3 end layout
{y=2x+1y=4x−3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x minus 3 end layout
{y=−x+2y=3x+4
Writing Simultaneous Linear Equations Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
Two lines intersect on the coordinate plane. Both axes range from negative 10 to 10 in increments of 1.
Write the system of equations shown in the graph.
(1 point)
Responses
{y=2x−1y=4x+0.75
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 0.75 end layout
{y=2x−1y=4x+3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 3 end layout
{y=2x+1y=4x−3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x minus 3 end layout
{y=−x+2y=3x+4
Answers
GPT-4o mini
To determine the correct system of equations from the given graph, we need to identify the equations of the two lines based on their slopes and y-intercepts.
Assuming the lines intersect at two points determined by their slopes and y-intercepts, the equations typically take the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
From the provided options, you have:
1. \( \{y = 2x - 1, y = 4x + 0.75\} \)
2. \( \{y = 2x - 1, y = 4x + 3\} \)
3. \( \{y = 2x + 1, y = 4x - 3\} \)
4. \( \{y = -x + 2, y = 3x + 4\} \)
To choose the correct system of equations, you would ideally refer to the graph to see which equations correspond to the lines intersecting at the right coordinates. If you know the slopes and intercepts from the graph, match them with the choices available.
If you can provide more details about the lines shown in the graph, or if you can describe how they look (e.g., slopes or points they pass through), I could help you further in selecting the right equations. However, without visual access to the graph, you would need to find the one that matches your observation based on the numbers given.
Assuming the lines intersect at two points determined by their slopes and y-intercepts, the equations typically take the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
From the provided options, you have:
1. \( \{y = 2x - 1, y = 4x + 0.75\} \)
2. \( \{y = 2x - 1, y = 4x + 3\} \)
3. \( \{y = 2x + 1, y = 4x - 3\} \)
4. \( \{y = -x + 2, y = 3x + 4\} \)
To choose the correct system of equations, you would ideally refer to the graph to see which equations correspond to the lines intersecting at the right coordinates. If you know the slopes and intercepts from the graph, match them with the choices available.
If you can provide more details about the lines shown in the graph, or if you can describe how they look (e.g., slopes or points they pass through), I could help you further in selecting the right equations. However, without visual access to the graph, you would need to find the one that matches your observation based on the numbers given.