SOLUTION: What is the linear equation for "the line is perpendicular to y=2x+1 and passes through (-2,3)" thank you

Question 831016: What is the linear equation for
"the line is perpendicular to y=2x+1 and passes through (-2,3)"
thank you
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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"the line is perpendicular to y=2x+1 and passes through (-2,3)"
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The given line has slope = 2
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A perpendicular line will have slope = -1/2.
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Form: y = mx + b
Solve for "b":
3 = (-1/2)(-2) + b
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3 = 1 + b
b = 2
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Equation:
y = (-1/2)x + 2
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If the slope of a line is , then
the slope of any line perpendicular to it
will be
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The slope of is

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If the general form of a straight line is
, then so far I have

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Now I can plug the given point (-2,3)
into this equation

So, the equation is:

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Here is the plot of the 2 lines:

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