# A linear graph contains the points of (-10,4), (-8,2), (-6,0), (-4,-2), (0,-6), (2,-8). Is the function of the graph y = -x - 6?

Mar 12, 2017

Yes, it is.

#### Explanation:

$y = - x - 6$ implies $x + y = - 6$ i.e. the sum of ordinate and abscissa is $- 6$

As in all the given points,

$\left(- 10 , 4\right) , \left(- 8 , 2\right) , \left(- 6 , 0\right) , \left(- 4 , - 2\right) , \left(0 , - 6\right) , \left(2 , - 8\right)$

the sum of ordinate and abscissa is $- 6$,

these represent the linear relation $y = - x - 6$
graph{-x-6 [-16.25, 3.75, -4.2, 5.8]}