The point is
and the equation of line is
.
Rewrite the equation
in the slope - intercept form:
where m is slope and b is y - intercept.
Add 8x to each side.
\
Divide each side by 9.
\
.
Therefore slope of given line is
.
Because the slopes of perpendicular lines are negative reciprocals, the slope of perpendicular line through
is
.
To find the y - intercept of perpendicular line, substitute the values of
in the slope - intercept from:
and solve for b.



.
Substitute the values of
in the slope - intercept form of equation
.
The equation of perpendicular line is
.