Question

Select the correct function for each table, graph and equation.(6 points)
Linear Nonlinear






3x−4y=27
3
𝑥
−
4
𝑦
=
27








3x2−2x=4y
3
𝑥
2
−
2
𝑥
=
4
𝑦


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Answer 1

3x − 4y = 27 → Linear
Reason: can be written y = (3/4)x − 27/4 (variables are to the first power; graph is a line).

3x^2 − 2x = 4y → Nonlinear
Reason: contains x^2 so y = (3/4)x^2 − (1/2)x (a quadratic).