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Slope Intercept Form of a Straight Line

Line l has ...

Question

Line $l$ has equation $y - 2 x = 2$ . What is the equation of line $p$ which is the reflection of line $l$ on the line $y = x$ ?

y = 0.5 x - 1

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y = 2 x - 1

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y = x + 2

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y = - 2 x - 2

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y = x

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Solution

The correct option is D $y = 0.5 x - 1$
The equation is $y = 2 x + 2$ , $y = m x + c$
after the reflection the equation is $y = \frac{x}{m} - c$
comparing with standered eq we have $m_{1} = \frac{1}{m} = 0.5, c = - 1$
$y = 0.5 x - 1$

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