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Determine if the lines L1: 2x-2y+1=0 and L2:2x+2y+3=0 are parallel, perpendicular, coincident or secant and why.

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Answer to a math question Determine if the lines L1: 2x-2y+1=0 and L2:2x+2y+3=0 are parallel, perpendicular, coincident or secant and why.

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Andrea

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83 Answers

1. Write down the equations:

L1: 2x - 2y + 1 = 0

L2: 2x + 2y + 3 = 0

2. Calculate the slope for L1:

m_1 = -\frac{2}{-2} = 1

3. Calculate the slope for L2:

m_2 = -\frac{2}{2} = -1

4. Compare the slopes. Since

m_1

and

m_2

are negations:

L1\ and\ L2\ are\ perpendicular.

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Determine if the lines L1: 2x-2y+1=0 and L2:2x+2y+3=0 are parallel, perpendicular, coincident or secant and why.

Answer to a math question Determine if the lines L1: 2x-2y+1=0 and L2:2x+2y+3=0 are parallel, perpendicular, coincident or secant and why.

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