Respuesta :

Answer:

y =[tex]-\frac{1}{2}[/tex] x + 5

Step-by-step explanation:

Given parameters:

Coordinates = (-6,2)

Slope  = [tex]-\frac{1}{2}[/tex]

Unknown:

Equation of the line that passes through = ?

Solution:

The equation of a line is expressed as;

        y  =mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

    let us find c;

       2  =  [tex]-\frac{1}{2}[/tex]  x 6 + c

       2  = -3 + c

        c  = 5;

The equation of the line is;

        y =[tex]-\frac{1}{2}[/tex] x + 5