Answer:y - 4x + 4 = 0
Step-by-step explanation: Formula for equation of a line passing through two coordinates is
y - y₁ y₂ - y₁
______ = ______
x - x₁ x₂ - x₁
Therefore, y₂ -y₁
y - y₁ = ____ × ( x - x₁ )
x₂ - x₁
where x₁ =3, y₁ =8, x₂ = 1 and y₂ 0
Now substitute for the value
y - 8 = 0 - 8
______ x ( x - 3 )
1 - 3
Therefore y - 8 = -8/-2 × (x - 3 )
y - 8 = -8/-2 × (x - 3)
y -8 = 4 × (x - 3 )
y - 8 = 4( x - 3 )
y - 8 = 4x - 12, when the brackets are open,
So y = 4x - 12 + 8
y = 4x - 4
Therefore the equation of the line is
y - 4x + 4 = 0
