The line equation in slope-intercept form is
, where m is the slope
and b is the y-intercept.
\ \ \If two lines are perpendicular, the slope (
) of one line is opposite reciprocal
of the second line slope (
). It can be represented as,
.
The slope of the line is 6.
\So the line perpendicular to above equation has the slope 
Find the x – intercept
\
(Substitute y = 0)
(Add 6 to each side)
(Apply additive indentity property:
)
(Apply additive inverse property:
)
(Apply additive indentity property:
)
(Divide each side by 6)
(Cancel common terms)
The x-intercept is
.
Substitute
=
and
in the point-slope form equation.

(Substitute
)
(Apply additive indentity property:
)
(Apply distributive property:
)
(Multiply:
)
The slope-intercept form line equation is
.