We are given the following equation
[tex]2x-y=6[/tex]x-intercept:
The x-intercept is the point where the line intersects the x-axis
To find the x-intercept, substitute y = 0 into the equation
[tex]\begin{gathered} 2x-y=6 \\ 2x-0=6 \\ 2x=6 \\ x=\frac{6}{2} \\ x=3 \end{gathered}[/tex]So, the x-intercept for the given equation is 3
y-intercept:
The y-intercept is the point where the line intersects the y-axis
To find the y-intercept, substitute x = 0 into the equation
[tex]\begin{gathered} 2x-y=6 \\ 2(0)-y=6 \\ -y=6 \\ y=-6 \end{gathered}[/tex]So, the y-intercept for the given equation is -6
Therefore, the x-intercept and the y-intercept for the given equation is
x-intercept = 3, y-intercept = -6
