$\"\"$

The linear equation is $\"\"$ ; $\"\"$ .

Find slope.

$\"\"$ (Slope-intercept form)

$\"\"$ (Original equation)

Compare the equation with slope-intercept form and find the slope of the line.

Slope of the line $\"\"$ . $\"\"$

Find the perpendicular line equation.

The slope of the perpendicular line is opposite reciprocal is $\"\"$ .

$\"\"$ (Point-slope form)

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

$\"\"$ (Distributive property: $\"\"$ )

Therefore, the slope-intercept form in perpendicular line equation is $\"\"$ .

$\"\"$

The slope-intercept form in perpendicular line equation is $\"\"$ .