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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.

Expert avatar
Andrea
4.5
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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