Question

What is the equation of the line that passes through (-3,7) and (1,-1)

Answer 1

Answer: y = -2x + 1  or y +2x - 1 = 0

Step-by-step explanation

Recall, equation of a line passing through two coordinates is

y - y₁ =  y₂ - y₁              ( x - x₁ )

           ₋₋₋₋₋₋₋₋     x  

           x₂ - x₁

note , (x₁ = -3), (x₂ = 1), (y₁ = 7), (y₂ = -1)

Now substitute for those values in the above equation

y - (7) = -1 - 7

            ------         X  ( x - (-3)

            1 - (-3)

y - 7   =  -8/4  X  ( x + 3 )

y - 7   = -2(x + 3 )

y - 7   = -2x - 6

The equation now

y  =  -2x -6 + 7

y = -2x + 1  or

y + 2x - 1 = 0.