Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
Step one
get the equation in form
y=mx+b, where m is the slope, and b the y-axis intercept
to find the slope
2x+y=4
y=-2x+4
-2x=mx, Hence
m=-2
Step two
two lines are perpendicular if the products of their slopes is equal to -1
[tex]m_{1}*m_{2}=-1[/tex]
we have
[tex]m_{1}=-2[/tex]
[tex]-2*m_{2}=-1\\solve\ for\ m_{2}\\m_{2}=\frac{-1}{-2}\\m_{2}=\frac{1}{2}[/tex]
I hope it helps , Have a good day
