Question
Find the equation for points -5,-4 and 4,-1 on the graph
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GPT 3.5
To find the equation of the line passing through the points (-5,-4) and (4,-1), we first need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-5,-4) and (x2, y2) = (4,-1)
m = (-1 - (-4)) / (4 - (-5))
m = (-1 + 4) / (4 + 5)
m = 3 / 9
m = 1/3
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
Using the point (-5,-4):
y - (-4) = (1/3)(x - (-5))
y + 4 = (1/3)(x + 5)
y + 4 = (1/3)x + 5/3
Subtracting 4 from both sides:
y = (1/3)x + 5/3 - 4
y = (1/3)x + 5/3 - 12/3
y = (1/3)x - 7/3
Therefore, the equation of the line passing through the points (-5,-4) and (4,-1) is y = (1/3)x - 7/3.
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-5,-4) and (x2, y2) = (4,-1)
m = (-1 - (-4)) / (4 - (-5))
m = (-1 + 4) / (4 + 5)
m = 3 / 9
m = 1/3
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
Using the point (-5,-4):
y - (-4) = (1/3)(x - (-5))
y + 4 = (1/3)(x + 5)
y + 4 = (1/3)x + 5/3
Subtracting 4 from both sides:
y = (1/3)x + 5/3 - 4
y = (1/3)x + 5/3 - 12/3
y = (1/3)x - 7/3
Therefore, the equation of the line passing through the points (-5,-4) and (4,-1) is y = (1/3)x - 7/3.
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