Which point is a solution to the inequality shown in this graph?
graph of y > 1/3x - 2
Group of answer choices
(5,-5)
(1,5)
(-3,-3)
(3,-1)
To determine which point is a solution to the inequality y > 1/3x - 2, you can substitute the x and y values of each point into the inequality and see if the inequality is true.
Let's start with the point (5,-5):
y > 1/3x - 2
-5 > 1/3(5) - 2
-5 > 5/3 - 2
-5 > 5/3 - 6/3
-5 > -1/3
-5 is indeed greater than -1/3, so (5,-5) is a solution to the inequality.
Next, let's check (1,5):
y > 1/3x - 2
5 > 1/3(1) - 2
5 > 1/3 - 2
5 > 1/3 - 6/3
5 > -5/3
5 is indeed greater than -5/3, so (1,5) is a solution to the inequality.
Now, let's check (-3,-3):
y > 1/3x - 2
-3 > 1/3(-3) - 2
-3 > -1 - 2
-3 > -1 - 6
-3 > -7
-3 is not greater than -7, so (-3,-3) is not a solution to the inequality.
And finally, let's check (3,-1):
y > 1/3x - 2
-1 > 1/3(3) - 2
-1 > 1 - 2
-1 > 1 - 6
-1 > -5
-1 is not greater than -5, so (3,-1) is not a solution to the inequality.
Therefore, the points that are solutions to the inequality y > 1/3x - 2 are (5,-5) and (1,5).