What is the equation of the line perpendicular to the line y=4/9x-2
Asked by maham237 @ in Mathematics viewed by 297 People
What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the line 4,3
Asked by maham237 @ in Mathematics viewed by 297 People
What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the line 4,3
Answered by maham237 @
Given
The line equation is
passes through the line (4,3 )
Find out the equation of the perpendicular line.
To proof
given equation is
the equation of line is in the form y = mx +c
where m = slope
c is the intercept on the y axis.
compare this equation to the above equation
we get
In perpendicular line case
The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.
thus slope of the perpendicular line
=
Than equation perpendicular line becomes
as the line passes through the point( 4,3)
put these value in the above equation
we get
solving the above equation
3 +9 =c
12 =c
put this value in the above equation
we get
this is equation of the perpendicular line.
Hence proved
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