Question

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

A. y ≤ −x + 4
B. y ≤ x − 11
C. y ≤ −2x − 3
D. y ≤ 2x + 1

Answer 1

D because it is 2<17

Answer 2

Answer:

the answer is the option D

$y\leq 2x+1$

Step-by-step explanation:

we know that

If the point belong to the graph of the inequality

then

the point must be satisfy the inequality

we have the point $(8,-2)$

Substitute the value of x and y in each inequality

case A) $y\leq -x+4$

$-2\leq -8+4$

$-2\leq -4$ ----->is not true

case B) $y\leq x-11$

$-2\leq 8-11$

$-2\leq -3$ ----->is not true

case C) $y\leq -2x-3$

$-2\leq -2*8-3$

$-2\leq -19$ ----->is not true

case D) $y\leq 2x+1$

$-2\leq 2*8+1$

$-2\leq 17$ ----->is true

therefore

the point $(8,-2)$ belong to the solution of the graph of the inequality $y\leq 2x+1$