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
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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)
11 answers
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)
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
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)
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
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)
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).
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
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.
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
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.
1 answer