Question

What is the slope of a line perpendicular to the line whose equation is y=2x+5

Answer 1

-1/2x. The slopes of perpendicular lines are negative reciprocals. -1/2 x and 2x are negative reciprocals
i hope this helps:)

Answer 2

For two lines to be perpendicular to one another, their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1

In this case, our reference line has a slope of 2 so

2m=-1  divide both sides by 2

m=-1/2

So the slope of a line perpendicular to y=2x+b will have a slope of -1/2.