Question

What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4

Answer 1

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.

Answer 2

slope = $\frac{1}{2}$

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 ($m_{2}$)   of a line perpendicular to it is

$m_{2}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = $\frac{1}{2}$