How do you find the slope of a line that is perpendicular to #2x+y=4#?

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Answer 1 · 2016-11-30T11:32:09

The slope of the line is #1/2#

The product of the slopes of two perpendicular lines is #-1#.

The slope of the line #2x+y=4 or y=-2x+4# is #-2# (Compare with #y=mx+c)#

Let #m_2# is the slope of the perpendicular line.
#m_2*(-2)=-1 :. m_2=1/2#

So the slope of the line is #1/2#[Ans]

Answer 2 · 2016-11-30T11:48:54

Slope of lines perpendicular to #y# is #1/2#

#2x+y=4#

#y =-2x+4#

A straight iine in slope #(m)# and intercept #(c)# form has the equation:
#y=mx+c#

Hence this example #m=-2#

Lines perpendicular to #y# will have a slope #(m_1)# that satisfies #m*m_1=-1#

#:. m_1 = -1/-2 = 1/2#