Answer:
(1, 4) no; (-1, 1) yes.
Explanation:
For a given ordered pair to lie on the graph of an equation, they must be able to produce a true statement when plugged in. Basically, what I'm saying is when we plug in (1, 4) and (-1, 1) in their respective x- and y-positions, the result must = 9 for them to lie on the graph. So we'll do just that.
First with (1, 4)
2(1)² + 7(4)² = 9
2(1) + 7(16) = 9
2 + 112 = 9
114 ≠ 9
114 is not 9; this is not a true statement, (1, 4) does not lie on the graph of the equation.
Next with (-1, 1)
2(-1)² + 7(1)² = 9
2(1) + 7(1) = 9
2 + 7 = 9
9 = 9
9 does equal 9; this is a true statement, (-1, 1) does lie on the graph of the equation.