Answer: 3y - 8x + 2 = 0
Explanation:
The formula is
y - y₁ y₂ - y₁
------- = ---------- where x₁ = -2, x₂ = 1, y₁ = -6, y₂ = 2,
x - x₁ x₂ - x₁
Now we substitute for the values in the above equation and then solve.
y - (-6) 2 - (-6) 2 + 6 8
---------- = ----------- = --------- = ----
x - (-2) 1 - (-2) 1 + 2 3
y + 6 8
-------- = ---- , we now cross multiply to get the required equation.
x + 2 3
3( y + 6 ) = 8( x + 2 )
3y + 18 = 8x + 16
3y - 8x + 18 - 16 = 0
3y - 8x + 2 = 0