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Question Use the image to answer the question. An illustration of a coordinate plane with four quadrants shows the x-axis rangi...Question
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Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 4 right parenthesis and left parenthesis 1 comma 8 right parenthesis.
Derive the equation of the line in slope-intercept form.
(1 point)
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 4 right parenthesis and left parenthesis 1 comma 8 right parenthesis.
Derive the equation of the line in slope-intercept form.
(1 point)
Answers
Answer
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 2 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 2 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Answer
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows on both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows on both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Answer
Jonas is saving money for an upcoming vacation. He currently has $50 in his savings account. He plans to add $3 each week. Write an equation that represents the relationship between the amount of money, y , and the number of weeks, x . Use the slope-intercept form y=mx+b .(1 point)
Answer
Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 4 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
Responses
y=3x−4
y equals 3 x minus 4
y=3x+4
y equals 3 x plus 4
y=−3x−4
y equals negative 3 x minus 4
3x−y=4
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 4 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
Responses
y=3x−4
y equals 3 x minus 4
y=3x+4
y equals 3 x plus 4
y=−3x−4
y equals negative 3 x minus 4
3x−y=4
Answer
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 1 right parenthesis and left parenthesis 1 comma negative 4 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Responses
y=−5x+1
y equals negative 5 x plus 1
y=5x+1
y equals 5 x plus 1
−5x−y=−1
negative 5 x minus y equals negative 1
y=−5x−1
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 1 right parenthesis and left parenthesis 1 comma negative 4 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Responses
y=−5x+1
y equals negative 5 x plus 1
y=5x+1
y equals 5 x plus 1
−5x−y=−1
negative 5 x minus y equals negative 1
y=−5x−1
Answered by
GPT 3.5
To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 4) and (1, 8), we can plug in these values to find the slope:
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, 4):
4 = 4(0) + b
b = 4
Therefore, the equation of the line in slope-intercept form is:
y = 4x + 4
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 4) and (1, 8), we can plug in these values to find the slope:
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, 4):
4 = 4(0) + b
b = 4
Therefore, the equation of the line in slope-intercept form is:
y = 4x + 4
Answered by
GPT 3.5
To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 2) and (1, -1), we can plug in these values to find the slope:
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, 2):
2 = -3(0) + b
b = 2
Therefore, the equation of the line in slope-intercept form is:
y = -3x + 2
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 2) and (1, -1), we can plug in these values to find the slope:
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, 2):
2 = -3(0) + b
b = 2
Therefore, the equation of the line in slope-intercept form is:
y = -3x + 2
Answered by
GPT 3.5
To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, -2) and (3, 0), we can plug in these values to find the slope:
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, -2):
-2 = (2/3)(0) + b
b = -2
Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, -2) and (3, 0), we can plug in these values to find the slope:
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, -2):
-2 = (2/3)(0) + b
b = -2
Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2
Answered by
GPT 3.5
In this situation, the amount of money Jonas has in his savings account (y) is directly proportional to the number of weeks (x) he saves for.
Since he currently has $50 in his account and plans to add $3 each week, the slope (m) would be $3 (since it's the amount added each week). The initial amount of money in his account ($50) corresponds to the y-intercept (b) in the equation.
Therefore, the equation representing the relationship between the amount of money (y) and the number of weeks (x) is:
y = 3x + 50
This equation is in the slope-intercept form y = mx + b, where m is the slope (3, the amount added per week) and b is the y-intercept (50, the initial amount in the account).
Since he currently has $50 in his account and plans to add $3 each week, the slope (m) would be $3 (since it's the amount added each week). The initial amount of money in his account ($50) corresponds to the y-intercept (b) in the equation.
Therefore, the equation representing the relationship between the amount of money (y) and the number of weeks (x) is:
y = 3x + 50
This equation is in the slope-intercept form y = mx + b, where m is the slope (3, the amount added per week) and b is the y-intercept (50, the initial amount in the account).
Answered by
GPT 3.5
To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, -4) and (1, -1), we can plug in these values to find the slope:
m = (-1 - (-4)) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, -4):
-4 = 3(0) + b
b = -4
Therefore, the equation of the line in slope-intercept form is:
y = 3x - 4
So, the correct answer is:
y = 3x - 4.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, -4) and (1, -1), we can plug in these values to find the slope:
m = (-1 - (-4)) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, -4):
-4 = 3(0) + b
b = -4
Therefore, the equation of the line in slope-intercept form is:
y = 3x - 4
So, the correct answer is:
y = 3x - 4.
Answered by
GPT 3.5
To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 1) and (1, -4), we can plug in these values to find the slope:
m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, 1):
1 = -5(0) + b
b = 1
Therefore, the equation of the line in slope-intercept form is:
y = -5x + 1
So, the correct answer is:
y = -5x + 1.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 1) and (1, -4), we can plug in these values to find the slope:
m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5
Now that we have the slope, we can find the y-intercept (b) using the formula:
b = y - mx
Using the point (0, 1):
1 = -5(0) + b
b = 1
Therefore, the equation of the line in slope-intercept form is:
y = -5x + 1
So, the correct answer is:
y = -5x + 1.
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