To determine which point is a solution to the inequality \( y > 19x - 3 \), we can substitute the \( x \) values of each point into the inequality and see if the corresponding \( y \) value satisfies it.
-
For the point \( (0, -1) \): \[ y > 19(0) - 3 \ -1 > -3 \quad \text{(True)} \]
-
For the point \( (0, -3) \): \[ y > 19(0) - 3 \ -3 > -3 \quad \text{(False, since it's equal, not greater)} \]
-
For the point \( (0, -4) \): \[ y > 19(0) - 3 \ -4 > -3 \quad \text{(False)} \]
-
For the point \( (0, -6) \): \[ y > 19(0) - 3 \ -6 > -3 \quad \text{(False)} \]
The only point that satisfies the inequality \( y > 19x - 3 \) is \( (0, -1) \).
3 answers