Respuesta :

Answer:

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

Step-by-step explanation:

we are given

Line is perpendicular to y=−2x−6

we can compare it with

y=mx+b

where

m is slope

so, m=-2

so, slope is -2

Our line is perpendicular to this slope

so, slope of our line will be

[tex]m'=-\frac{1}{-2}[/tex]

[tex]m'=\frac{1}{2}[/tex]

now, we are given point as (6,1)

so, [tex]x_1=6,y_1=1[/tex]

now, we can use point slope form of line

[tex]y-y_1=m(x-x_1)[/tex]

we can plug values

[tex]y-1=\frac{1}{2}(x-6)[/tex]

now, we can solve for y

and we get

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


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