Thread: Calculate points on a line

Hi,

How can I calculate all the points on a diagonal line if I only know the x/y coordinates of 2 fixed points.

See the picture, only 2 points are known (the x/y coordinate) and I want to know the other 3 points on the line. And lets say the distance/space between each point is 1cm.



Thanks.

Hi Fri I'm don't know well in English but I know how to solve it.first we have to find third by ((2+4)/2;(1+5)/2) then find second point like before

Isn't there a way to get each point by incrementing it by 1cm?

Originally Posted by mplus

Hi,

How can I calculate all the points on a diagonal line if I only know the x/y coordinates of 2 fixed points.

See the picture, only 2 points are known (the x/y coordinate) and I want to know the other 3 points on the line. And lets say the distance/space between each point is 1cm.

write the equation for the line ...







evaluate y for the x values you desire between 2 and 4

Originally Posted by mplus

Hi,

How can I calculate all the points on a diagonal line if I only know the x/y coordinates of 2 fixed points.

See the picture, only 2 points are known (the x/y coordinate) and I want to know the other 3 points on the line. And lets say the distance/space between each point is 1cm.

So you have a total of five points, including the endpoints, and the distance between tonsecutive points is 1 cm?
That's impossible- the length of the line is , not 4 as it would have to be to have 1 cm between them. If you simply mean "3 points equally distribute between (2, 1) and (4, 5)", then they must have distance between them. Also the slope of the line is (5- 1)/(4- 2)= 4/2= 2. The first point (the one closest to (2, 1)), must satisfy or and or . The second must satisfy or as well as . The third must satisfy or and .

Thanks.

No the total distance from point 1 to 5 isn't 1cm. Its supposed to be 4.46cm. I mean to get the 3 points increased by 1.18cm to end up with 3 points. And get the xy coordinate of those 3 points.

So yes the idea is to get the coordinate of 3 points equally distributed between the 2 known coordinates yes.

I didn't really get the math part you wrote at the second paragraph.

You said the second points, so the one in the middle, is 5? I want its x y coordinate.

I didn't get this part either:

y = 2x - 3

evaluate y for the x values you desire between 2 and 4

if you evenly divide the interval from x = 2 to x = 4 into four equal parts, you get the x-values 2, 2.5, 3, 3.5 and 4

the evenly spaced coordinates would be

(2 , 1)

(2.5 , 2)

(3 , 3)

(3.5 , 4)

(4 , 5)

if you do not know how to write a linear equation between two points, then I recommend you visit this link and study the lesson ...

Straight-Line Equations: Slope-Intercept Form

Hello, mplus!

How can I calculate the points on a diagonal line if I only know the x/y coordinates of 2 fixed points.

See the picture, only 2 points are known (the x/y coordinate) and I want to know the other 3 points on the line. And lets say the distance/space between each point is 1cm.

Look at what we have:

. .


We want to divide the line segment into four equal segments.

The x-coordinates range from 2 to 4.
. . Hence, the x-coordinates are: .

The y-coordinates range from 1 to 5.
. . Hence, the y-coordinates are: .


Therefore, the five points are: .

Ah ... skeeter beat me to it . . .

Ah thanks, that did it.