Asked by NIGAS
Correct the error:
Question: Find the point-slope equation of the line with slope -3 that passes through the point (2,-10).
Solution: y-y^1=m(x-y^1)
y-(2)=-3(x-(-10)
y-2=-3(x+10)
the eqation 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-y^1=m(x-y^1)
y-(2)=-3(x-(-10)
y-2=-3(x+10)
the eqation 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 sign of the slope is incorrect. The slope is given as -3, but in the solution, it is used as 3.
To solve the problem correctly, we can use the point-slope formula:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Using the values from the given point (2, -10) and the correct slope (-3), the correct equation would be:
y - (-10) = -3(x - 2)
Simplifying this equation gives:
y + 10 = -3x + 6
Therefore, the correct equation of the line is:
y = -3x - 4
To solve the problem correctly, we can use the point-slope formula:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope.
Using the values from the given point (2, -10) and the correct slope (-3), the correct equation would be:
y - (-10) = -3(x - 2)
Simplifying this equation gives:
y + 10 = -3x + 6
Therefore, the correct equation of the line is:
y = -3x - 4
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