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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 .
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