Question

What is an equation of the line that passes through the points (-1, 6) and (-1, –5)?

Answer 1

Answer: 11x + 11

Step-by-step explanation:

This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus

y - y₁         y₂ ₋ y₁                           y₂ ₋ y₁

------    =   ----------      or  y ₋ y₁ =    ---------  ˣ  ( x - x₁ )

x - x₁         x₂ ₋ x₁                           x₂ ₋ x₁

Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.

y - 6           -5 - 6       -11             -11

------      =   --------    =  ----      =    -----

x - (-1)         -1 - (-1)      -1 + 1          0

y - 6          -11

------    =    -----

x + 1           0   ,

Now we cross multiply to have a linear equation

0( y - 6 )  =  -11( x + 1 )

0   =   -11x - 11, now multiply by -1

The equation now becomes

11x + 11