$\"\"$

The line equation in slope-intercept form is $\"\"$ , where m is the slope and b is the y-intercept.

If two lines are perpendicular, the slope (m₁) of one line is opposite reciprocal of the second line slope (m₂). It can be represented as, $\"\"$ .

The slope of the line $\"\"$ is 1.

So the line perpendicular to above equation has the slope $\"\"$

$\"\"$

Substitute (x₁, y₁) = (-2, 0) and $\"\"$ in the point-slope form equation

$\"\"$

$\"\"$ (Substitute (x₁, y₁) and m values)

$\"\"$ (Product of two same signs is positive) \ \

$\"\"$ (Apply distributive property: a(b + c) = ab + ac)

$\"\"$

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