Question

How do you find the slope of a line that is perpendicular to `2x+y=4`?

Answer 1

The slope of the line is `1/2`

Explanation:

The product of the slopes of two perpendicular lines is `-1`.

The slope of the line `2x+y=4 or y=-2x+4` is `-2` (Compare with `y=mx+c)`

Let `m_2` is the slope of the perpendicular line.
`m_2*(-2)=-1 :. m_2=1/2`

So the slope of the line is `1/2`[Ans]

Answer 2

Slope of lines perpendicular to `y` is `1/2`

Explanation:

`2x+y=4`

`y =-2x+4`

A straight iine in slope `(m)` and intercept `(c)` form has the equation:
`y=mx+c`

Hence this example `m=-2`

Lines perpendicular to `y` will have a slope `(m_1)` that satisfies `m*m_1=-1`

`:. m_1 = -1/-2 = 1/2`