For the line given by y2x find the slope of a line that is a

For the line given by, y=2x find the slope of a line that is:

a) Parallel to the given line: mparallel=

b) Perpendicular to the given line: mperpendicular=

Solution

y=-2x

Slope of the line = Coefficient of x =-2

a) The slopes of parallel lines are equal.

So slope of a line parallel to the given line , m_parallel =-2

b) Slope of a perpendicular line =-1/ slope of the give line

m_{perpendicular}= =-1/-2 =1/2