Question

Write an equation of the line that passes through the given points (-2, -6) and (1, 2).

Answer 1

Answer: 3y - 8x + 2 = 0

Step-by-step 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