Respuesta :

Answer:

The slope of the line [tex]m = -\frac{1}{2}[/tex]

The point ( x₁ ,y₁) = ( 2,1)

Step-by-step explanation:

Explanation:-

Given that the line

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

Comparing  y- y₁ = m(x-x₁)

The slope of the line [tex]m = -\frac{1}{2}[/tex]

The point ( x₁ ,y₁) = ( 2,1)

The equation of the straight line

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

                   2(y-1) = -(x-2)

                    2y -2 = -x +2

                x + 2y -2-2=0

                x +2y -4=0

Final answer:-

The equation of the straight line   x+ 2y-4=0

The slope of the line [tex]m = -\frac{1}{2}[/tex]

The point ( x₁ ,y₁) = ( 2,1)