Question

How is the distance between any two points on a line in the X-Y plane is calculated?

Answer 1

It is calculate by distance formule
let two points A and B

A(x1,Y1)_________________B (x2,y2)

AB=
$\sqrt{(x1 - x2) - (y1 - y2)}$

Answer 2

Answer:

$\sqrt{(x1-y1)^{2}+(x2-y2)^{2}  }$

Step-by-step explanation:

Let us assume the equation of a straight line on the X-Y plane is given by ax+by+c =0........ (1)

Now we have to find two points which are on the given straight line.

Let those points are, (x1,y1) and (x2,y2).

Then, equation (1) must be satisfied by those two points.

Hence, ax1+ by1+ c =0 and ax2+ by2+ c =0.

If those two points are known, then the distance between those two points will be given by $\sqrt{(x1-y1)^{2}+(x2-y2)^{2}  }$. (Answer)