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=-\frac{1}{2}$

then the equation of the line is

$y=mx+b$

where

m=-1/2

b=1

$y=-\frac{1}{2}x+1$

The correct answer is option D