Question

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

Answer 1

x - 3y -6 =0

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