Respuesta :

Answer:

1/2

Explanation:

The given equation is:

y + 2x = 6

Rewrite y + 2x = 6 in the form y = mx + 6

y = -2x + 6

where m = -2

The line perpendicular to y = -2x + 6 will have a slope of:

[tex]\begin{gathered} m_2=-\frac{1}{m} \\ m_2=-\frac{1}{-2} \\ m_2=\frac{1}{2} \end{gathered}[/tex]

Therefore, the slope of every line that is perpendicular to the graph of the equation y + 2x = 6 is 1/2