$\"\"$

\

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

\

Rewrite the equation $\"\"$ in the slope - intercept form by solving for y.

\

Subtract 2x from each side.

\

$\"\"$

\

$\"\"$

\

Divide each side by 4.

\

$\"\"$

\

$\"\"$ .

\

The equation $\"\"$ is in the form $\"\"$ 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 2. $\"\"$

\

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

\

$\"\"$

\

$\"\"$

\

Subtract 16 from each side.

\

$\"\"$

\

$\"\"$ .

\

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

\

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