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!