Is it Linear?

Are the following linear?

\(\textbf{1)}\) \( 4x+2y=7 \)Link to Youtube Video Solving Question Number 1

 

\(\textbf{2)}\) \( 3x^2+5y=12 \)Link to Youtube Video Solving Question Number 2

 

\(\textbf{3)}\) \( \frac{2}{x}-y=7 \)Link to Youtube Video Solving Question Number 3

 

\(\textbf{4)}\) \( \frac{2x}{3}-y=7 \)Link to Youtube Video Solving Question Number 4

 

\(\textbf{5)}\) \( \sqrt{x}+\sqrt{y}=9 \)Link to Youtube Video Solving Question Number 5

 

\(\textbf{6)}\) \(y=2x+3\)

 

\(\textbf{7)}\) \(y=\sqrt{x}+3\)

 

\(\textbf{8)}\) \(y=\displaystyle \frac{3}{x}+2\)

 

\(\textbf{9)}\) \(y=\displaystyle \frac{x}{3}+2\)

 

\(\textbf{10)}\) \(y=5\)

 

\(\textbf{11)}\) \(y=\displaystyle \frac{x+4}{3}+\frac{2}{5}\)

 

\(\textbf{12)}\) \(4x+2y=17\)

 

\(\textbf{13)}\) \(y=\sqrt{3}\, x+1\)

 

\(\textbf{14)}\) \(y=\sqrt{3}\)

 

\(\textbf{15)}\) \(y=\pi\)

 

\(\textbf{16)}\) \(y=3x(x+1)\)
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.

 

 

See Related Pages\(\)

\(\bullet\text{ Graphing Linear Equations}\)
\(\,\,\,\,\,\,\,\,2x-3y=6 \) Thumbnail for Graphing Linear Equations
\(\bullet\text{ Slope Formula}\)
\(\,\,\,\,\,\,\,\,m=\frac{y_2-y_1}{x_2-x_1}\)
\(\bullet\text{ Net Change}\)
\(\,\,\,\,\,\,\,\,y_2-y_1\)
\(\bullet\text{ Point Slope Form}\)
\(\,\,\,\,\,\,\,\,y-y_1=m(x-x_1)\)
\(\bullet\text{ Parallel and Perpendicular Slope}\)
\(\,\,\,\,\,\,\,\,m_1=m+2,\,\,\,m_1=\frac{1}{m_2}\)
\(\bullet\text{ Distance Between a Point and a Line}\)
\(\,\,\,\,\,\,\,\,(3,4) \text{ and } y=\frac{3}{4}x−2\)
\(\bullet\text{Finding x- and y- intercepts}\)
\(\,\,\,\,\,\,\,\,y=2x+4\)
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