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

yea it is (3,2)

Explanation:

Answer 2

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

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*-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.