Question

Are `y=1/2x-1` and `y+4=-1/2(x-2)` parallel, perpendicular, or neither?

Answer 1

Neither

Explanation:

The equation of a straight line in slope `(m)` and intercept `(c)` form is: `y=mx+c`

To be parallel two straight lines must have equal slope `(m_1=m_2)`
To be perpendicular the slopes must satisfy `m_1=-1/m_2`

In this example equation `(1): y=1/2x-1 -> m_1 = 1/2`
and equation `(2): y+4=-1/2(x-2)`

`y=-1/2x-3 -> m_2 = -1/2`

Therefore: `m_1 = -m_2`

Since `m_1 != m_2` and `m_1!=-1/m_2` the lines are neither parallel nor perpendicular to eachother.