To determine which point lies on the graph, substitute the x- coordinate of the point into the equation and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.
(1, - 2 )
y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 2 ← not on graph
(- 4, - 10 )
y = - 4(- 4) + 6 = 16 + 6 = 22 ≠ - 10 ← not on graph
(- 4, 22 )
y = - 4(- 4) + 6 = 16 + 6 = 22 ← lies on graph
(1, - 10 )
y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 10 ← not on graph
