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 (*m*_{1}) of one line is opposite reciprocal of the second line slope (*m*_{2}). 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 .

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