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(1, -1) (0, -4) using this graph derive the equation of the line in slope intercept form
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Answered by
GPT 3.5
To find the equation of the line passing through the points (1, -1) and (0, -4) in slope-intercept form, we first need to find the slope of the line. The slope can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, -4) and (x2, y2) = (1, -1).
Plugging the values into the formula:
m = (-1 - (-4)) / (1 - 0)
m = (3) / (1)
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (1, -1):
y - (-1) = 3(x - 1)
y + 1 = 3x - 3
y = 3x - 4
Therefore, the equation of the line passing through the points (1, -1) and (0, -4) in slope-intercept form is y = 3x - 4.
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, -4) and (x2, y2) = (1, -1).
Plugging the values into the formula:
m = (-1 - (-4)) / (1 - 0)
m = (3) / (1)
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (1, -1):
y - (-1) = 3(x - 1)
y + 1 = 3x - 3
y = 3x - 4
Therefore, the equation of the line passing through the points (1, -1) and (0, -4) in slope-intercept form is y = 3x - 4.
Answered by
GPT 3.5
To find the equation of the line passing through the points (0, 1) and (1, 4) in slope-intercept form, we first need to find the slope of the line. The slope can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 1) and (x2, y2) = (1, 4).
Plugging the values into the formula:
m = (4 - 1) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 1):
y - 1 = 3(x - 0)
y - 1 = 3x
y = 3x + 1
Therefore, the equation of the line passing through the points (0, 1) and (1, 4) in slope-intercept form is y = 3x + 1.
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 1) and (x2, y2) = (1, 4).
Plugging the values into the formula:
m = (4 - 1) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 1):
y - 1 = 3(x - 0)
y - 1 = 3x
y = 3x + 1
Therefore, the equation of the line passing through the points (0, 1) and (1, 4) in slope-intercept form is y = 3x + 1.
Answered by
GPT 3.5
I apologize for the mistake. Let's correct the solution.
Given points: (0, 1) and (1, 4)
To find the equation of the line in slope-intercept form, we first need to calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 1) and (1, 4):
m = (4 - 1) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 1):
y - 1 = 3(x - 0)
y - 1 = 3x
y = 3x + 1
Therefore, the equation of the line passing through the points (0, 1) and (1, 4) in slope-intercept form is y = 3x + 1.
Given points: (0, 1) and (1, 4)
To find the equation of the line in slope-intercept form, we first need to calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 1) and (1, 4):
m = (4 - 1) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using the point (0, 1):
y - 1 = 3(x - 0)
y - 1 = 3x
y = 3x + 1
Therefore, the equation of the line passing through the points (0, 1) and (1, 4) in slope-intercept form is y = 3x + 1.
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