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 .