Question

What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4

Answer 1

slope =
`(1)/(2)`

the equation of a line in \ slope-intercept form ' is

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

2x + y = 4 ( subtract 2x from both sides )

y = - 2x + 4 ← in slope-intercept form

with m = - 2

given a line with slope m then the slope (
`m_(2)`) of a line perpendicular to it is

`m_(2)` = -
`(1)/(m)` = -
`(1)/(-2)` =
`(1)/(2)`

Answer 2

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).

So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.