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

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

Show Rule

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

Show Rule

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

Show Rule

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

Show Rule

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

Show Rule

See Related Pages\(\)

\(\bullet\text{ Graphing Linear Equations}\)
\(\,\,\,\,\,\,\,\,2x-3y=6 \)

\(\bullet\text{ Slope Formula}\)
\(\,\,\,\,\,\,\,\,m=\frac{y_2-y_1}{x_2-x_1}\)

\(\bullet\text{ Net Change}\)
\(\,\,\,\,\,\,\,\,y_2-y_1\)

\(\bullet\text{ Point Slope Form}\)
\(\,\,\,\,\,\,\,\,y-y_1=m(x-x_1)\)

\(\bullet\text{ Parallel and Perpendicular Slope}\)
\(\,\,\,\,\,\,\,\,m_1=m+2,\,\,\,m_1=\frac{1}{m_2}\)

\(\bullet\text{ Distance Between a Point and a Line}\)
\(\,\,\,\,\,\,\,\,(3,4) \text{ and } y=\frac{3}{4}x−2\)

\(\bullet\text{Finding x- and y- intercepts}\)
\(\,\,\,\,\,\,\,\,y=2x+4\)