Respuesta :

The given equation is

[tex]2x-y=6[/tex]

To find the x-intercept, we have to evaluate the equation when y = 0.

[tex]\begin{gathered} 2x-y=6 \\ 2x-0=6 \\ 2x=6 \end{gathered}[/tex]

Divide each side by 2

[tex]\begin{gathered} \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}[/tex]

As you can observe, the x-intercept is 3.

Therefore, the statement is false: -6 is not the x-intercept.