Question

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

Answer 1

peprendicular lines have slopes that multiply to get -1

y=mx+b
m=slope

2x+y=4
minus 2x
y=-2x+4
slope is -2

-2 times what=-1
what=-1/-2
what=1/2

the slope is 1/2

Answer 2

The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is
`(1)/(2)`.

Explanation:

Given : Equation is 2x + y = 4.

To find : What is the slope of the line that is perpendicular to the line.

Formula used : equation of line y = m
`m_(1)` x + c.

Solution : We have 2x + y = 4.

Rearranging the equation : y = - 2x + 4.

On comparing m
`m_(1)` = - 2.

Condition for slope of the line that is perpendicular to the line :

m
`m_(1)` × m
`m_(2)` = -1 .

So, -2 × m
`m_(2)` = -1 .

On dividing by 2 both we get ,

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

Therefore, The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is
`(1)/(2)`.