Finding an equation of a line that is orthogonal

[erindaisy18]

Find the equation of the line through the point (3, −1) that is orthogonal to the line 3x − 6y + 1 = 0.

 

[Deleted member 4993]

Find the equation of the line through the point (3, −1) that is orthogonal to the line 3x − 6y + 1 = 0.

What is the mathematical relationship between the slopes (m₁ & m₂) of the orthogonal lines?

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[pka]

Find the equation of the line through the point (3, −1) that is orthogonal to the line 3x − 6y + 1 = 0.

The slope of [imath]Ax+By+C=0[/imath] where [imath]A\cdot B\ne 0[/imath] has slope [imath]\dfrac{-A}{B}[/imath].
Moreover, the slope of any line perpendicular to that line is [imath]\dfrac{B}{A}[/imath].