A line passes through (1,1), (-2,4), and (6, n). Find the value of n.

-4.

The equation for a line is y-y₁=m (x-x₁)

Using the following:

x₁ = 1

x₂ = - 2

y₁ = 1

y₂ = 4

and slope, or m, is (x₂-x₁) / (y₂-y₁),

You can now fill out the equation!

y - (1) = - 1 (x - (1))

y = - x+2

And solve by substituting the 6, or x₃, into the equation to find the corresponding y value:

y = - (6) + 2

y = - 4

Therefore,

n=-4