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Sergio039 [100]
3 years ago
14

Which two lines are parallel? Which two lines are perpendicular?

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

All the equations given are in slope- intercept form

y = 2x + 1 → with m = 2

y = \frac{1}{2} x - 4 → with m = \frac{1}{2}

y = x + 1 → with m = 1

y = - \frac{1}{x} x - 3 → with m = - \frac{1}{2}

y = 10 + x → y = x + 10 → with m = 1

Thus

y = x + 1 and y = 10 + x are Parallel since both have m = 1

y = 2x + 1 and y = - \frac{1}{2} x - 3 are Perpendicular since 2 × - \frac{1}{2} = - 1

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