[Math] Distance between point and line in point slope form on a plane

analytic geometrygeometry

If I have an equation in point slope form $$y=mx$$ how can I use the perpendicular distance formula:

$$\text{Perpendicular Distance} = \frac{\left | Ax_{1} + By_{1} + C\right |}{\sqrt{A^2 + B^2} }$$

with my equation in point slope form knowing that this formula is designed for standard form?

Best Answer

When given an equation in point slope form it is important to recognize that you can manipulate the equation to obtain values for A, B, and C and then use the perpendicular distance formula.

y=mx

subtract y from both sides in order to convert to standard form and get:

mx - y = 0.

Now you can determine your A, B, and C.

A=m; B=-1; C=0.

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