Notes
General Form
\(Ax+By+C=0\)
A, B, and C are simplified whole numbers
A is positive.
Standard Form
\(Ax+By=C\)
A, B, and C are simplified whole numbers
A is positive.
Slope Intercept Form
\(y=mx+b\)
Point Slope Form
\(y-y_1=m(x-x_1)\)
m=slope
\((x_1.y_1)\) is any point on the line
\(\textbf{1)}\) Express \( y=3x+5 \) in general form.
\(\textbf{2)}\) Express \( 2x+4y=10 \) in general form.
\(\textbf{3)}\) Express \( y=\frac{2}{3}x-6 \) in general form.
See Related Pages\(\)
\(\bullet\text{ Slope Intercept Form}\)
\(\,\,\,\,\,\,\,\,y=mx+b\)
\(\bullet\text{ Point Slope Form}\)
\(\,\,\,\,\,\,\,\,y-y_1=m(x-x_1)\)
\(\bullet\text{Finding x- and y- intercepts}\)
\(\,\,\,\,\,\,\,\,y=2x+4\)
\(\bullet\text{ Graphing Linear Equations}\)
\(\,\,\,\,\,\,\,\,2x-3y=6 \) 
\(\bullet\text{ Slope Formula}\)
\(\,\,\,\,\,\,\,\,m=\frac{y_2-y_1}{x_2-x_1}\)
\(\bullet\text{ Net Change}\)
\(\,\,\,\,\,\,\,\,y_2-y_1\)
\(\bullet\text{ Parallel and Perpendicular Slope}\)
\(\,\,\,\,\,\,\,\,m_1=m+2,\,\,\,m_1=\frac{1}{m_2}\)
\(\bullet\text{ Distance Between a Point and a Line}\)
\(\,\,\,\,\,\,\,\,(3,4) \text{ and } y=\frac{3}{4}x−2\)
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