Which of the following points is a solution to the linear inequality y>19x−29 ?(1 point) Responses (0,−49) left parenthesis 0 comma negative Start Fraction 4 over 9 End Fraction right parenthesis (0,−29) left parenthesis 0 comma negative Start Fraction 2 over 9 End Fraction right parenthesis (0,−19) left parenthesis 0 comma negative Start Fraction 1 over 9 End Fraction right parenthesis (0,−13)
To determine whether a point is a solution to the inequality y > 19x - 29, we need to substitute the x and y values of the point into the inequality and check if the inequality is true.
Let's test each point:
For point (0, -49):
-49 > 19(0) - 29
-49 > -29
This is true.
For point (0, 4/9):
4/9 > 19(0) - 29
4/9 > -29
This is true.
For point (0, -29):
-29 > 19(0) - 29
-29 > -29
This is not true.
For point (0, 2/9):
2/9 > 19(0) - 29
2/9 > -29
This is true.
For point (0, -19):
-19 > 19(0) - 29
-19 > -29
This is true.
For point (0, 1/9):
1/9 > 19(0) - 29
1/9 > -29
This is true.
For point (0, -13):
-13 > 19(0) - 29
-13 > -29
This is true.
Therefore, the points that are solutions to the inequality y > 19x - 29 are:
(0, -49), (0, 4/9), (0, -19), (0, 2/9), and (0, -13).