To which graph does the point (8, −2) belong?

y ≤ −x + 4

y ≤ x − 11

y ≤ −2x − 3

y ≤ 2x + 1

Question

To which graph does the point (8, −2) belong?

 y ≤ −x + 4

 y ≤ x − 11

 y ≤ −2x − 3

 y ≤ 2x + 1

mathmale · Answer

Recognize that the point (8,-2) has x-coordinate 8 and y-coordinate -2.  Substitute both values into each of the given inequality, at least until you find one inequality that is TRUE.

Example:  substitute x=8 and y=-2 into y ≤ −x + 4 and determine whether the resulting inequality is true or false:  $$-2\le -(8)+4?  ~ -2\le -4?  ~NO$$

anonymous · Answer

-2≤-8+4 would be incorrect because -2 isnt less than or equal to -4
right?

anonymous · Answer

*less than 
-2≤8-11 would be incorrect also because -2 isnt less than or equal to negative 3
...
i got -2≤2x+1 
becuase -2 is less that 7