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.

Show General Form

The answer is \( 3x-y+5=0 \)

 

\(\textbf{2)}\) Express \( 2x+4y=10 \) in general form.

Show General Form

The answer is \( 2x+4y-10=0 \)

 

\(\textbf{3)}\) Express \( y=\frac{2}{3}x-6 \) in general form.

Show General Form

The answer is \( 2x-3y-18=0 \)

 

 

See Related Pages\(\)

\(\bullet\text{ Slope Intercept Form}\)
\(\,\,\,\,\,\,\,\,y=mx+b\)

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

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

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

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

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

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

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