Question

Write an equation in slope intercept form for the line that passes through (0,1)) and is perpendicular to the line whose equation is y=2xMark only one oval Y=-2x+1 Y=2x*1Y=1/2x+1Y=-1/2x+1

Answer 1

Line passesthrough (0,1)

then y-intercept = 1

perpendicular to y=2x

since the line is in the form

`y=mx+b`

then

slope m=2

y-intercept y=0

since the line are perpendicular to each other

`m1*m2=-1`
`2*m2=-1`
`m2=-(1)/(2)`

then the equation of the line is

`y=mx+b`

where

m=-1/2

b=1

`y=-(1)/(2)x+1`

The correct answer is option D