First find the slope of the line .

The line in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

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

=

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, .

Slope of the line perpendicular to given line is 

So, slope of the new line = .

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

First find the y-intercept value.

                    (Substitute for m)

                (Substitute 2, 0 for x, y)

                      (Multiply: )

Apply addition property of equality: If a = b than a + c = b + c.

     (Add to each side)

           (Apply additive identity property: )

                              (Apply additive inverse property: )

Substitute for m and for b in the Slope-intercept form line equation.

The line equation in slope-intercept form is .