$\"\"$

The point is $\"\"$ and the equation of line is $\"\"$ .

The equation $\"\"$ is already adjusted in the slope - intercept form of equation or $\"\"$ where m is slope and b is y - intercept.

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, substitute the values of $\"\"$ in the slope - intercept from of equation $\"\"$ and solve for b.

$\"\"$

Add 14 to each side.

$\"\"$

$\"\"$ .

Substitute the values of $\"\"$ in the slope - intercept form of equation $\"\"$ . $\"\"$

The equation of perpendicular line is $\"\"$ .