Respuesta :

Step-by-step explanation:

Given expression:

     2x - y + 3  = 0

The co-ordinates of the points at which the line intersects the coordinate axes is unknown?

Now,

     2x - y + 3 = 0

 Let us rearrange the equation;

        -y = -2x - 3

Multiply through by (-1);

        y = 2x + 3

the point where the line intercept the y- axis, x = 0

  so,

          y = 2(0) + 3  = 3

Coordinates  = (0,3)

the point where the line intercepts the x-axis, y = 0;

       0 = 2x + 3

      2x  = -3

       x  = [tex]\frac{-3}{2}[/tex]

Coordinates  = ([tex]\frac{-3}{2}[/tex] , 0)