0
$\begingroup$

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?

$\endgroup$
  • $\begingroup$ The line eq. is generally $y=mx+c$ which you can write as $mx-y+c$ c.f. this with $Ax+Bc+C$, you will get your values. $\endgroup$ – chandresh Dec 11 '15 at 6:48
1
$\begingroup$

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.

$\endgroup$
0
$\begingroup$

Convert to standard form.
$$y = mx$$

$$mx - y = 0$$

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

$\endgroup$
0
$\begingroup$

Then convert the equation to standard from. $y=mx$ is the same as $mx-y=0$ where $A=m$, $B=-1$, and $C=0$.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.