contestada

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

Write an equation in slope intercept form for the line that passes through 01 and is perpendicular to the line whose equation is y2xMark only one oval Y2x1 Y2x1 class=

Respuesta :

Line passesthrough (0,1)

then y-intercept = 1

perpendicular to y=2x

since the line is in the form

[tex]y=mx+b[/tex]

then

slope m=2

y-intercept y=0

since the line are perpendicular to each other

[tex]m1*m2=-1[/tex][tex]2*m2=-1[/tex][tex]m2=-\frac{1}{2}[/tex]

then the equation of the line is

[tex]y=mx+b[/tex]

where

m=-1/2

b=1

[tex]y=-\frac{1}{2}x+1[/tex]

The correct answer is option D

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