Answer:
[tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
General form of equation of line = [tex]y= mx+c[/tex]
Where m is the slope of line
We are given a line [tex]y=2x + 5[/tex]
On comparing with general form
m = 2
Let n be the slope of line perpendicular to the line [tex]y=2x + 5[/tex]
The product of the slopes of perpendicular lines is -1
So,[tex]m \times n = -1[/tex]
[tex]2 \times n = -1[/tex]
[tex]n = \frac{-1}{2}[/tex]
So, Option B is correct
Hence the slope of a line perpendicular to the line whose equation is y=2x + 5 is [tex]\frac{-1}{2}[/tex]
