The given line is .
above line is slope - intercept form .
So, given line has a slope of() = 0.
So, a line perpendicular to it has a slope of .
Because you know the slope and a point on the line,
\Use point - slope form to write an equation of the line.
Let =
and slope(
) =
.
(Substitute 2 for
,
6 for
and
=
)
Rewrite in slope - intercept form .
(Product of two sames signs is positive)
(Multiply each side by 0) \ \
(Cancel common terms) \ \
(Multiply:
)
(Apply distributive property:
)
(Multiply:
)
(Subtract 6 from to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Substitute =
in equation
.
The equation satisfies the condition.
\So,The equation of the line is .
The equation of the line is .