Respuesta :
Answer:
[tex]y-1=0(x-2)[/tex]
Step-by-step explanation:
We are given that a horizontal line which is passing through the point (2,1).
We have to find the equation in point -slope form of the line .
We know that equation of horizontal line is given by
[tex]y=a[/tex]
It means y does not vary with x.Therefore,
Slope of line=[tex]\frac{dy}{dx}=m=0[/tex]
Slope of horizontal line =0
Point- slope form equation of line
[tex]y-y-1=m(x-x_1)[/tex]
We have,[tex]x_1=2,y_1=1, m=0[/tex]
Substitute the values in the given formula
Then, we get the equation of horizontal line which is passing through the point (2,1) is given by
[tex]y-1=0(x-2)[/tex]
Hence, the equation of horizontal line which is passing through the point (2,1) is given by
[tex]y-1=0(x-2)[/tex]