The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
A:y=-2x+6
B:y=1/3x-6
C:y=3x-2
D:y=1/3x-2

Respuesta :

Answer:

    x - 3y -6 =0

Step-by-step explanation:

slope m = y₂ - y₁ / x₂ - x₁

          = 0-(-2) / 6 - 0 = 0+2/6 = 2/6 = 1/3

Equation:  y - y₁ = m ( x - x₁)

                 y - (-2) = 1/3 (x - 0)

                  y + 2 =  (1/3) * x

     3* ( y + 2)  = 1*x

         3y + 6  =x

         x - 3y -6 =0