Which of these points lies on the graph of the equation x−12=y?(4, 8)(3, 15)(-4, -8)(-2, -14)

To determine which of these points lies on the graph of the equation x−12=y, we need to substitute the x and y values of each point into the equation and see if the equation holds true.

1. For the point (4, 8), if we substitute x=4 and y=8 into the equation, we get 4-12=8, which simplifies to -8=8. This is not true, so the point (4, 8) does not lie on the graph.

2. For the point (3, 15), if we substitute x=3 and y=15 into the equation, we get 3-12=15, which simplifies to -9=15. This is not true, so the point (3, 15) does not lie on the graph.

3. For the point (-4, -8), if we substitute x=-4 and y=-8 into the equation, we get -4-12=-8, which simplifies to -16=-8. This is not true, so the point (-4, -8) does not lie on the graph.

4. For the point (-2, -14), if we substitute x=-2 and y=-14 into the equation, we get -2-12=-14, which simplifies to -14=-14. This is true, so the point (-2, -14) does lie on the graph.

Therefore, the point (-2, -14) is the only one that lies on the graph of the equation x−12=y.