2x-y=6

The equation you've provided is a linear equation in two variables, \(2x - y = 6\). You can rewrite it in different forms or analyze it further depending on what you need. 1. **Standard Form**: The equation is already in standard form \(Ax + By = C\), where \(A = 2\), \(B = -1\), and \(C = 6\). 2. **Slope-Intercept Form (y = mx + b)**: You can solve for \(y\) to express this in slope-intercept form: \[ 2x - y = 6 \\ -y = -2x + 6 \\ y = 2x - 6 \] Here, the slope \(m\) is 2, and the y-intercept \(b\) is -6. 3. **Finding Intercepts**: - **X-intercept**: Set \(y = 0\): \[ 2x - 0 = 6 \implies 2x = 6 \implies x = 3 \] So the x-intercept is (3, 0). - **Y-intercept**: Set \(x = 0\): \[ 2(0) - y = 6 \implies -y = 6 \implies y = -6 \] So the y-intercept is (0, -6). 4. **Graphing**: You can plot the x-intercept and y-intercept to graph the line. If you need further analysis or specific calculations related to this equation, please specify!