To work with the equation \(3x - y + 2 = 0\), we can rewrite it in two common forms: slope-intercept form or standard form.
1. Slope-Intercept Form
To express the equation in slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept, we can solve for \(y\):
\[ 3x - y + 2 = 0 \]
First, isolate \(y\):
\[ -y = -3x - 2 \]
Multiply by -1:
\[ y = 3x + 2 \]
2. Standard Form
The equation is already in standard form \(Ax + By + C = 0\), where \(A = 3\), \(B = -1\), and \(C = 2\).
Summary
- Slope-Intercept Form: \(y = 3x + 2\)
- Standard Form: \(3x - y + 2 = 0\)
If you have any specific questions or need further analysis (like finding intercepts or graphing), feel free to ask!