Question

Identify the slope of the line and the slopes of any parallel and perpendicular lines y=-1/2x+2

Answer 1

Slope of the line,
`m_(1) = -(1)/(2)`

Slope of parallel line, same as the slope above

Slope of perpendicular line,
`m_(2) = 2`

Explanation:

Parallel line:
`m_(1) = m_(2)`

Perpendicular line:
`m_(1) * m_(2) = -1`

`y = mx +b`

Where, m = slope

Thus, in the equation provided, the slope is
`-(1)/(2)`

Finding the slope of perpendicular line:

`m_(1) * m_(2) = -1\\m_(2) = (-1)/(m_(1))\\m_(2) = -1 * -2\\m_(2) = 2`