Question

Which of the following points satisfies y < 3x - 6?

(2, -4)

(1,0)​

Answer 1

Answer: (2,-4)

Explanation: The coordinates are in the form (x,y) so 2 is the x value, and -4 is the y value. You substitute these values into the equation:

y<3x-6
-4<3(2)-6
-4<6-6
-4<0

Now let’s substitute (1,0) into the inequality:

y<3x-6
0<3(1)-6
0<3-6
0<-3

This is false as 0 is greater than -3, not less than. Hope this helps :)

Answer 2

The point (2,-4) satisfies y < 3x - 6