Question

you just plotted two non-solutions to our equation, (4, 6) and (4, 3). what do you notice about these points?
$2g + 3s = 20$
the points (4, 6) and (4, 3) lie on line n.
the points (4, 6) and (4, 3) do not lie on line n.

Explanation:

First, check if the points satisfy the line equation $2g + 3s = 20$ (line $n$):

1. For $(4,6)$: Substitute $g=4$, $s=6$: $2(4)+3(6)=8+18=26

eq20$, so it does not lie on line $n$.

1. For $(4,3)$: Substitute $g=4$, $s=3$: $2(4)+3(3)=8+9=17

eq20$, so it does not lie on line $n$.
Visually, the red points are also not on the blue line $n$ shown on the graph.

Answer:

The points (4, 6) and (4, 3) do not lie on line n.