If L is a line perpendicular to the line y + 4x= 5 and passes through the point (2,4), what is the x intercept of L?

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Answer 1 · 2016-07-15T14:22:12

x-intercept #=-14#

The slope of #y+4x=5# is #m=-4#

A line L perpendicular to it has a slope #m_p=-(1/(-4))=1/4#

The equation of the line passing thru #(2, 4)# with slope #m_p=1/4#

#y-4=1/4(x-2)#

#y=1/4x-2/4+4#

#y=1/4x+7/2#

Set #y=0# the solve for the x-intercept

#y=1/4x+7/2#

#0=1/4x+7/2#

#1/4x=-7/2#

#x=-14#

God bless...I hope the explanation is useful.