Which of the following points is a solution to the linear inequality y>19x−29 ?(1 point)Responses(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)left parenthesis 0 comma negative Start Fraction 1 over 3 End Fraction right parenthesis(0,−49)
To check if a point is a solution to the inequality, we substitute the values of x and y into the inequality and check if the inequality is true.
Let's test each of the points:
1) (0, -29)
Plugging in the values: -29 > 19(0) - 29
Simplifying: -29 > -29
This is true.
2) (0, -2/9)
Plugging in the values: -2/9 > 19(0) - 29
Simplifying: -2/9 > -29
This is also true.
3) (0, -1/9)
Plugging in the values: -1/9 > 19(0) - 29
Simplifying: -1/9 > -29
This is true as well.
4) (0, -13)
Plugging in the values: -13 > 19(0) - 29
Simplifying: -13 > -29
This statement is true.
5) (0, -49)
Plugging in the values: -49 > 19(0) - 29
Simplifying: -49 > -29
This statement is false.
From the calculations above, we can see that the points (0, -29), (0, -2/9), (0, -1/9), and (0, -13) are solutions to the inequality.