The points A(-1,4) and B(2,-3) are in rectangular coordinate system. Piont C is on AB with AC:CB = 3:4. Find the coordinates of C.
+36916 The oint C divides the line in to two segments one is 3/7 the other is 4/7
we want to find the point that is 3/7 from point A
The distance between the x coordinates from -1 to 2 is 3 units 3 units x 3/7 = 9/7 add this to -1
-1 + 9/7 = 2/7 x coordinate
The distance between y coordinates from 4 to -3 is -7 units -7 x 3/7 = -3 add this to 4
4 - 3 = 1 y coordinate
Here is a graph:
https://www.desmos.com/calculator/zqpuoy5cik
