Writing a Rule

Notes

Linear Equations


\(y=mx+b\)


\(m=\displaystyle\frac{y_1-y_2}{x_1-x_2}\,\,\,\,\,b=\) “what is \(y\) when \(x\) is zero?



Practice Questions

Write a rule for each linear equation

\(x\)
 \(0\) \(1\) \(2\) \(3\)
\(y\)
 \(4\) \(7\) \(10\) \(13\)


\(x\)
 \(0\) \(2\) \(4\) \(6\)
\(y\)
 \(3\) \(7\) \(11\) \(15\)


\(x\)
 \(1\) \(2\) \(3\) \(4\)
\(y\)
 \(6\) \(7\) \(8\) \(9\)


\(x\)
 \(5\) \(6\) \(7\) \(8\)
\(y\)
 \(19\) \(23\) \(27\) \(31\)


\(x\)
 \(2\) \(3\) \(4\) \(5\)
\(y\)
 \(12\) \(18\) \(24\) \(30\)



See Related Pages\(\)

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