Question
Correct the error:
Question: Find the point-slope equation of the line with slope -3 that passes through the point (2,-10).
Solution:
y-y1=m(x-x1)
y-2=-3(x-(-10))
y-2=-3(x+10)
the equation of the line is y-2=-3(x+10)
What is the error? Explain how to solve the problem.
Question: Find the point-slope equation of the line with slope -3 that passes through the point (2,-10).
Solution:
y-y1=m(x-x1)
y-2=-3(x-(-10))
y-2=-3(x+10)
the equation of the line is y-2=-3(x+10)
What is the error? Explain how to solve the problem.
Answers
Answered by
GPT 3.5
The error in the solution is that the point (-10) in the equation of the line is incorrect. The correct point is (2, -10), not (x, -10).
To solve the problem correctly, you should substitute the correct coordinates of the given point into the equation.
The correct solution should be:
y - y1 = m(x - x1)
y - (-10) = -3(x - 2)
y + 10 = -3x + 6
Therefore, the correct equation of the line is y + 10 = -3x + 6.
To solve the problem correctly, you should substitute the correct coordinates of the given point into the equation.
The correct solution should be:
y - y1 = m(x - x1)
y - (-10) = -3(x - 2)
y + 10 = -3x + 6
Therefore, the correct equation of the line is y + 10 = -3x + 6.
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