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Are the following linear?
\(\textbf{1)}\) \( 4x+2y=7 \)
Yes, linear
\(\textbf{2)}\) \( 3x^2+5y=12 \)
No, not linear
\(\textbf{3)}\) \( \frac{2}{x}-y=7 \)
No, not linear
\(\textbf{4)}\) \( \frac{2x}{3}-y=7 \)
Yes, linear
\(\textbf{5)}\) \( \sqrt{x}+\sqrt{y}=9 \)
No, not linear
\(\textbf{6)}\) \(y=2x+3\)
Yes, it is linear.
\(\textbf{7)}\) \(y=\sqrt{x}+3\)
No, it is not linear.
\(\textbf{8)}\) \(y=\displaystyle \frac{3}{x}+2\)
No, it is not linear.
\(\textbf{9)}\) \(y=\displaystyle \frac{x}{3}+2\)
Yes, it is linear.
\(\textbf{10)}\) \(y=5\)
Yes, it is linear.
\(\textbf{11)}\) \(y=\displaystyle \frac{x+4}{3}+\frac{2}{5}\)
Yes, it is linear.
\(\textbf{12)}\) \(4x+2y=17\)
Yes, it is linear.
\(\textbf{13)}\) \(y=\sqrt{3}\, x+1\)
Yes, it is linear
\(\textbf{14)}\) \(y=\sqrt{3}\)
Yes, it is linear.
\(\textbf{15)}\) \(y=\pi\)
Yes, it is linear.
\(\textbf{16)}\) \(y=3x(x+1)\) x\(1\)\(2\)\(3\)\(4\)\(5\)y\(3\)\(5\)\(7\)\(9\)\(11\)
x\(0\)\(2\)\(4\)\(6\)\(8\)y\(11\)\(8\)\(5\)\(2\)\(-1\)
x\(0\)\(1\)\(2\)\(3\)\(4\)y\(1\)\(2\)\(4\)\(8\)\(16\)
x\(0\)\(1\)\(2\)\(3\)\(4\)y\(12\)\(10\)\(8\)\(6\)\(4\)
Yes, it is linear.
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