Question

Which of the following gives an example of a function that is not linear?(1 point)
Responses

9x+3y−18=0
9
𝑥
+
3
𝑦
−
18
=
0
9 x plus 3 y minus 18 equals 0

2x+3y=16
2
𝑥
+
3
𝑦
=
16
2 x plus 3 y equals 16

y=16x+23

Answer 1

None of them — all three are linear (they each rewrite as y = mx + b):

- 9x + 3y − 18 = 0 → y = −3x + 6
- 2x + 3y = 16 → y = −(2/3)x + 16/3
- y = 16x + 23

(If you mean "linear" in the linear-algebra sense (f(ax+by)=af(x)+bf(y)), then only functions with zero intercept are linear maps; those with nonzero constant term are affine, not linear.)