finding the second coordinate

HI,

How do you find the other endpoint of a line given one endpoint and the
slope of the line.

Also how do you display the coordinate on the computer screen knowing
that the Y axis (of the raster display) runs in the reverse direction of
a normal graph.


ex: given two points
x1 = 100
y1 = 600

and given an angle
45 degrees ie the slope(m)of the line is 1
and given the distance of 206 units
how do I find x2 and y2(the other endpoint of the line)?

how do i display it on the computer screen.

thanks,
Ashutosh

re: finding the second coordinate

"Ashutosh Iddya" <u2515967@anu.edu.au> wrote in message
news:3f56d8ae$1@clarion.carno.net.au...[color=blue]
> HI,
>
> How do you find the other endpoint of a line given one endpoint and the
> slope of the line.
>[/color]

Well use the formula of slope

i,e slope between x1, y1 and x2, y2 = y2-y1/x2 -x1

[color=blue]
> Also how do you display the coordinate on the computer screen knowing
> that the Y axis (of the raster display) runs in the reverse direction of
> a normal graph.
>
>
> ex: given two points
> x1 = 100
> y1 = 600
>
> and given an angle
> 45 degrees ie the slope(m)of the line is 1
> and given the distance of 206 units
> how do I find x2 and y2(the other endpoint of the line)?[/color]

use the same slope formula and the also pythgoras theorem.

example :

x2, y2


x1,y1



then slope = y2 - y1/ x2 -x1

and by pythgoras therom square of 206 = square of (x2 - x1) + square
of (y2 - y1)




[color=blue]
>
> how do i display it on the computer screen.
>
> thanks,
> Ashutosh
>[/color]

re: finding the second coordinate

you can also use the angle to represent the slope if you like trig

slope = tan(theta) = 1 so theta = arctan(1) = 45 degrees
then x2 = x1 + 206*cos(theta) = 100 + 206*0.7071 = 245.6626
and y2 = y1 + 206*sin(theta) = 600 + 206*0.7071 = 745.6626

phil...

"Vijay Singh" <vij_singh@hotmail.com> wrote in message news:C%M5b.2395$JK4.1704@news-binary.blueyonder.co.uk...[color=blue]
>
> "Ashutosh Iddya" <u2515967@anu.edu.au> wrote in message
> news:3f56d8ae$1@clarion.carno.net.au...[color=green]
> > HI,
> >
> > How do you find the other endpoint of a line given one endpoint and the
> > slope of the line.
> >[/color]
>
> Well use the formula of slope
>
> i,e slope between x1, y1 and x2, y2 = y2-y1/x2 -x1
>
> [color=green]
> > Also how do you display the coordinate on the computer screen knowing
> > that the Y axis (of the raster display) runs in the reverse direction of
> > a normal graph.
> >
> >
> > ex: given two points
> > x1 = 100
> > y1 = 600
> >
> > and given an angle
> > 45 degrees ie the slope(m)of the line is 1
> > and given the distance of 206 units
> > how do I find x2 and y2(the other endpoint of the line)?[/color]
>
> use the same slope formula and the also pythgoras theorem.
>
> example :
>
> x2, y2
>
>
> x1,y1
>
>
>
> then slope = y2 - y1/ x2 -x1
>
> and by pythgoras therom square of 206 = square of (x2 - x1) + square
> of (y2 - y1)
>
>
>
>
> [color=green]
> >
> > how do i display it on the computer screen.
> >
> > thanks,
> > Ashutosh
> >[/color]
>
>[/color]