Date;
Do the points (1,4) and (-1, 1) lie on
the 2x²+7y²= 9 ?

(1, 4) no; (-1, 1) yes.

Step-by-step 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.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3