Which of the following points is a solution to the linear inequality y>19x−29 ?(1 point) Responses (0,−19) left parenthesis 0 comma negative Start Fraction 1 over 9 End Fraction right parenthesis (0,−49) left parenthesis 0 comma negative Start Fraction 4 over 9 End Fraction right parenthesis (0,−13) left parenthesis 0 comma negative Start Fraction 1 over 3 End Fraction right parenthesis (0,−29)
To determine which of the given points is a solution to the linear inequality y > 19x - 29, we can substitute the x and y values of each point into the inequality and see which point satisfies the inequality.
Let's try the points one by one:
1. Point (0, -19):
Substituting x = 0 and y = -19 into the inequality:
-19 > 19(0) - 29
-19 > -29
This is true, so the point (0, -19) satisfies the inequality.
2. Point (0, 1/9):
Substituting x = 0 and y = 1/9 into the inequality:
1/9 > 19(0) - 29
1/9 > -29
This is true, so the point (0, 1/9) satisfies the inequality.
3. Point (0, -49/9):
Substituting x = 0 and y = -49/9 into the inequality:
-49/9 > 19(0) - 29
-49/9 > -29
This is true, so the point (0, -49/9) satisfies the inequality.
4. Point (0, -13/3):
Substituting x = 0 and y = -13/3 into the inequality:
-13/3 > 19(0) - 29
-13/3 > -29
This is true, so the point (0, -13/3) satisfies the inequality.
5. Point (0, -29):
Substituting x = 0 and y = -29 into the inequality:
-29 > 19(0) - 29
-29 > -29
This is false, so the point (0, -29) does not satisfy the inequality.
Therefore, the solutions to the linear inequality y > 19x - 29 are the points (0, -19), (0, 1/9), (0, -49/9), and (0, -13/3).