SOLUTION: A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and giv

Algebra ->  Linear-equations -> SOLUTION: A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and giv      Log On


   

Question 998373: A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and give the correct equation.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A student was asked to find the equation of the line perpendicular to y- 2x= 1 that passes through the point (4, 3). The student’s work is shown at right. Explain the error and give the correct equation.
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y = 2x+1
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slope = 2
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Perpendicular line ::
slope = -1/2
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Perpendicular line Equation::
Form: y = mx + b
Solve for "b"::
3 = (-1/2)(4) + b
3 = -2 + b
b = 5
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Equation:
y = (-1/2)x + 5
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Cheers,
Stan H.
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