Question

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

Answer 1

2x+y=4
y = -2x + 4 so slope = -2
perpendicular lines, slope is opposite and reciprocal so slope = 1/2
answer
C 1/2

Answer 2

`(1)/(2)`

Explanation:

Hello, I think I can help you with this

Step one

get the equation in form

y=mx+b, where m is the slope, and b the y-axis intercept

to find the slope

2x+y=4

y=-2x+4

-2x=mx, Hence

m=-2

Step two

two lines are perpendicular if the products of their slopes is equal to -1

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

we have

`m_(1)=-2`

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

I hope it helps , Have a good day