The given ordered pairs are solutions of the same linear equation. Find n.

Question

(2,-2) (-2,-4) (4,n)

Answer 1

OK, Rachel.

 

The slopes between any two points of a linear function are the same.  Remember that the slope is defined as the change in y, divided by the change in x.

 

That is:  (y₂ - y₁)/(x₂ - x₁).

 

So the slope between the first two points: (-4 - (-2))/(-2 - 2) = -2/(-4) = 1/2

 

And the slope between the last two points: (n- (-4))/(4 - (-2)) = (n+4)/6.

 

That means we have the equation:  (n + 4)/6 = 1/2.  Since 1/2 = 3/6, n+4 = 3, and n = -1.

 

That makes the points:  (2, -2), (-2, -4), (4, -1).

 

I hope this helps.

Answer 2

I love that beard it looks like General Jackson's, you know, Stone Wall Jackson, very distinguished..

 

D.Y. Taylor