Respuesta :
The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).
So, in order to be perpendicular, you must take the negative reciprocal.
The slope would be -1/2.
slope = [tex]\frac{1}{2}[/tex]
the equation of a line in \ slope-intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
2x + y = 4 ( subtract 2x from both sides )
y = - 2x + 4 ← in slope-intercept form
with m = - 2
given a line with slope m then the slope ([tex]m_{2}[/tex]) of a line perpendicular to it is
[tex]m_{2}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]