Question

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

Answer 1

Peprendicular lines have slopes that multiply to get -1

y=mx+b
m=slope

2x+y=4
minus 2x
y=-2x+4
slope is -2

-2 times what=-1
what=-1/-2
what=1/2

the slope is 1/2

Answer 2

Answer:

The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is   $\frac{1}{2}$.

Step-by-step explanation:

Given : Equation is 2x + y = 4.

To find : What is the slope of the line that is perpendicular to the line.

Formula used : equation of line y =  m$m_{1}$ x + c.

Solution : We have 2x + y = 4.

Rearranging the equation :  y = - 2x + 4.

On comparing   m$m_{1}$ = - 2.

Condition for  slope of the line that is perpendicular to the line :

      m$m_{1}$ × m$m_{2}$ = -1 .

So,       -2 × m$m_{2}$ = -1 .

On dividing by 2 both we get ,

  m$m_{2}$ = $\frac{1}{2}$.

Therefore, The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is   $\frac{1}{2}$.