Answer:
The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is [tex]\frac{1}{2}[/tex].
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[tex]m_{1}[/tex] x + c.
Solution : We have 2x + y = 4.
Rearranging the equation : y = - 2x + 4.
On comparing m[tex]m_{1}[/tex] = - 2.
Condition for slope of the line that is perpendicular to the line :
m[tex]m_{1}[/tex] × m[tex]m_{2}[/tex] = -1 .
So, -2 × m[tex]m_{2}[/tex] = -1 .
On dividing by 2 both we get ,
m[tex]m_{2}[/tex] = [tex]\frac{1}{2}[/tex].
Therefore, The slope of the line that is perpendicular to the line whose equation is 2x + y = 4 is [tex]\frac{1}{2}[/tex].
