To determine which point is a solution to the linear inequality, we need to substitute the x and y coordinates of each point into the inequality and check if it is true.
Let's substitute the x and y coordinates of each point into the inequality and see which one satisfies it:
1. (0,-1/9)
y > (1/9)x - 2/9
-1/9 > (1/9)(0) - 2/9
-1/9 > -2/9
This statement is true.
2. (0,-4/9)
y > (1/9)x - 2/9
-4/9 > (1/9)(0) - 2/9
-4/9 > -2/9
This statement is true.
3. (0,-2/9)
y > (1/9)x - 2/9
-2/9 > (1/9)(0) - 2/9
-2/9 > -2/9
This statement is false.
4. (0,-1/3)
y > (1/9)x - 2/9
-1/3 > (1/9)(0) - 2/9
-1/3 > -2/9
This statement is true.
So, the points (0,-1/9), (0,-4/9), and (0,-1/3) are solutions to the linear inequality. The correct answer is:
(0,−1/9)
(0,−4/9)
(0,−1/3)
Which of the following points is a solution to the linear inequality y>1/9x−2/9 ?(1 point)
Responses
(0,−1/9)
(0,−4/9)
(0,−2/9)
(0,−1/3)
3 answers
you can only have one correct answer
Apologies for the confusion. You are correct, there can only be one correct answer. Let's reassess the given points:
1. (0, -1/9)
y > (1/9)x - 2/9
-1/9 > (1/9)(0) - 2/9
-1/9 > -2/9
This statement is true.
2. (0, -4/9)
y > (1/9)x - 2/9
-4/9 > (1/9)(0) - 2/9
-4/9 > -2/9
This statement is true.
3. (0, -2/9)
y > (1/9)x - 2/9
-2/9 > (1/9)(0) - 2/9
-2/9 > -2/9
This statement is false.
4. (0, -1/3)
y > (1/9)x - 2/9
-1/3 > (1/9)(0) - 2/9
-1/3 > -2/9
This statement is true.
Based on the reassessment, the correct answer is:
(0, -1/9)
1. (0, -1/9)
y > (1/9)x - 2/9
-1/9 > (1/9)(0) - 2/9
-1/9 > -2/9
This statement is true.
2. (0, -4/9)
y > (1/9)x - 2/9
-4/9 > (1/9)(0) - 2/9
-4/9 > -2/9
This statement is true.
3. (0, -2/9)
y > (1/9)x - 2/9
-2/9 > (1/9)(0) - 2/9
-2/9 > -2/9
This statement is false.
4. (0, -1/3)
y > (1/9)x - 2/9
-1/3 > (1/9)(0) - 2/9
-1/3 > -2/9
This statement is true.
Based on the reassessment, the correct answer is:
(0, -1/9)