Question

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded. The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution? (−1, 1) (1, −1) (3, 2) (2, 3)

Answer 1

Answer:

(3,2) is a solution to the inequality.

Step-by-step explanation:

The inequality is given by $y\leq 2x - 4$

We can find the solution by trial and error method where we substitute the value of x and y and check whether it satisfies the inequality.

Putting $x = -1$ and $y = 1$ , we get

$1\leq (2\times-1) - 4$

$1\leq -6$ which is not possible.

Hence (-1,1) is not a solution.

Putting $x = 1$ and $y = -1$ , we get

$-1\leq -2$ which is impossible.So (1,-1) is not a solution

Putting $x=3$ and $y=2$ , we get

$2\leq 2$ which is possible and hence (3,2) is a solution.

Putting $x=2$ and $y=3$ we get

$3\leq 0$ which is impossible and (2,3) is not a solution.

Answer 2

Answer:

yea it is (3,2)

Step-by-step explanation: