Question

A line perpendicular to y=-2x-4

Answer 1

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

If two lines are perpendicular then the product of their slopes is -1, that is:

`m_ {1} * m_ {2} = - 1`

If we have the following line:

`y = -2x-4`

Then
`m_ {1} = - 2`

We find
`m_ {2}:`

`m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m_ {2} = \frac {1} {2}`

Thus, a line perpendicular to the given line will be of the form:

`y = \frac {1} {2} x + b`

ANswer:

`y = \frac {1} {2} x + b`