The graph of y > 1/2x - 2 is shown. which set contains only points that satisfy the inequality?
a) {(6, 1), (-1, -3), (4, 4)}
b) {(1, -1), (-3, -3), (2, 4)}
c) {(1, -1), (-3, -3), (4, -2)}
d) {(-1, -3), (-3, -3), (2, 4)}

B) {(1, -1), (-3, -3), (2, 4)}

Step-by-step explanation:

Look at each point on the graph. Try using a pen to show where it is (it might help to use an online tool like paint, etc. to do this). Does it fall inside of the shaded region of the graph? Whichever answer has all 3 points that fall inside to shaded region is the correct one. If you follow this method, you will see that B does this, so that's our answer.

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for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c